SU\G(𝔸)/K·U
Mathematics › Algebra and Number Theory

Advanced Topics in Algebra

Works Count: 87025

Description

This cluster of papers focuses on the deformations, structures, and classifications of Hom-Lie algebras, including their connections to Hopf algebras, renormalization in quantum field theory, derivations, and cohomology. It also explores related topics such as Baxter algebras, quasi-Lie algebras, and gradings.

Keywords

Hom-Lie Algebras; Deformations; Hopf Algebra; Renormalization; Derivations; Baxter Algebras; Quasi-Lie Algebras; Homology; Gradings; Cohomology

Most Cited Works

Action Title Date Authors
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Commutative algebra with a view toward algebraic geometry 1996-04-01 David Eisenbud
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Hopf Algebras and Their Actions on Rings 1993-10-28 Susan Montgomery
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Theory of Operator Algebras II 2003-01-01 Masamichi Takesaki
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Introduction to Quantum Groups 2010-01-01 G. Lusztig
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An Introduction to Homological Algebra 2008-10-02 Joseph Rotman
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C[*]-algebras and W[*]-algebras 1971-01-01 正一郎 境
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Tame Algebras and Integral Quadratic Forms 1984-01-01 Claus Michael Ringel
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Introduction to Lie Algebras and Representation Theory 1972-01-01 James E. Humphreys
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Positivity in Algebraic Geometry I 2004-01-01 Robert Lazarsfeld
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Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert 1973-01-01 Haïm Brézis
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Lie Groups and Lie Algebras 2002-01-01 Nicolás Bourbaki
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A Groupoid Approach to C*-Algebras 1980-01-01 Jean Renault
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Linear Representations of Finite Groups 1977-01-01 Jean-Pierre Serre
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Groupes et algèbres de Lie 1971-01-01 Nicolás Bourbaki
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The “transition probability” in the state space of a ∗-algebra 1976-04-01 Armin Uhlmann
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Infinite-Dimensional Lie Algebras 1990-09-20 Victor G. Kač
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Cluster algebras I: Foundations 2001-12-28 Sergey Fomin Andrei Zelevinsky
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The quantum group SU<sub>q</sub>(2) and a q-analogue of the boson operators 1989-09-21 L. C. Biedenharn
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Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I 1964-01-01 Heisuke Hironaka
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Intersection theory on the moduli space of curves and the matrix airy function 1992-06-01 Maxim Kontsevich
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Lectures on Classical Differential Geometry. 1952-02-01 Claude Springer D. J. Struik
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The Magma Algebra System I: The User Language 1997-09-01 Wieb Bosma John Cannon Catherine Playoust
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Solitons and Infinite Dimensional Lie Algebras 1983-12-31 Michio Jimbo Tetsuji Miwa
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On the Structure of Hopf Algebras 1965-03-01 John Milnor John C. Moore
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Rings of Continuous Functions 1960-01-01 Leonard Gillman Meyer Jerison
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Current algebra and Wess-Zumino model in two dimensions 1984-12-01 V.G. Knizhnik A. B. Zamolodchikov
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Functional Analysis and Semi-Groups 1949-04-01 Richard G. Cooke
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Index for subfactors 1983-02-01 Vaughan F. R. Jones
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Higher algebraic K-theory: I 1973-01-01 Daniel Quillen
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Topology from the Differentiable Viewpoint. 1967-04-01 Edgar H. Brown John Milnor
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On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub> 1989-11-07 Alan Macfarlane
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Mean value methods in iteration 1953-06-01 W. Robert Mann
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On the Deformation of Rings and Algebras 1964-01-01 Murray Gerstenhaber
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Lie Groups, Lie Algebras, and Their Representations 1984-01-01 V. S. Varadarajan
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Deformation Quantization of Poisson Manifolds 2003-12-01 Maxim Kontsevich
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Éléments de géométrie algébrique 1964-01-01 Alexandre Grothendieck
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Deformation theory and quantization. I. Deformations of symplectic structures 1978-03-01 F. Bayen M. Flato C. Frønsdal André Lichnerowicz Daniel Sternheimer
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A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation 1986-04-01 Michio Jimbo
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Completely positive linear maps on complex matrices 1975-06-01 Man-Duen Choi
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Aq-difference analogue of U(g) and the Yang-Baxter equation 1985-07-01 Michio Jimbo
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Complete Normed Algebras 1973-01-01 F. F. Bonsall John F. R. Duncan
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Lie superalgebras 1977-10-01 Victor G. Kač
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Stable Mappings and Their Singularities 1973-01-01 Martin Golubitsky Victor Guillemin
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Theory of Operator Algebras I 1979-01-01 Masamichi Takesaki
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Noncommutative Geometry 2010-06-30 Alain Connes Joachim Cuntz Marc A. Rieffel
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Éléments de Géométrie algébrique 1960-01-01 Alexandre Grothendieck Jean Dieudonné
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Introduction to Commutative Algebra. 1970-08-01 D. J. Lewis B. R. McDonald M. F. Atiyah I. G. Macdonald
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Real Algebraic Geometry 1998-01-01 Frédéric Mangolte Jean-Philippe Rolin Kurdyka Krzysztof Saugata Basu Victoria Powers
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Darboux Transformations and Solitons 1991-01-01 V. B. Matveev Mikhail A. Salle
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Homotopy Limits, Completions and Localizations 1972-01-01 A. K. Bousfield Daniel M. Kan

Most Recent Works

Action Title Date Authors
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Nondegenerate module categories 2025-05-02 Chelsea Walton Harshit Yadav
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Specific Identities Involving Prime Ideals with Generalized $P$-derivations 2025-05-01 Radwan M. Al-omary Ali Yahya Hummdi Zakia Z. Al-Amery
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Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures 2025-05-01 Tahsin Öner Neelamegarajan Rajesh Aiyared Iampan Arsham Borumand Saeid
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Some properties of compressed zero-divisor graph 2025-05-02 A. S. Monastyreva
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Corrigendum to “A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer” [J. Algebra 613 (2023) 1–31] 2025-05-02 Đặng Võ Phúc
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Nonlinear maps preserving the mixed type products on $$*$$-algebras 2025-05-02 Mohammad Aslam Siddeeque Mohammad Shane Alam Raof Ahmad Bhat
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Scattering diagrams, tight gradings, and generalized positivity 2025-05-02 Amanda Burcroff K.B. Lee Lang Mou
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Semibrick‐cosilting correspondence 2025-05-02 Ramin Ebrahimi Alireza Nasr‐Isfahani
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Minimal commutant and double commutant property for analytic Toeplitz operators 2025-05-02 María José González Fernando León-Saavedra
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Corrigendum to “Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras” [J. Pure Appl. Algebra 227(4) (2023) 107281] 2025-05-02 Zhekun He Jun Hu Huang Lin
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Construction of Low-Dimensional Lie Algebras versus Eigenproblem 2025-05-02 Alina Dobrogowska Marzena Szajewska
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REMARKS ON PRIME IDEALS AND REDUCED RINGS 2025-05-02 Tae-Hee Lee Zhelin Piao Shengbin Wu
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Structure of 6-dimensional finite non-commutative algebras with many single-sided units 2025-05-02 May Thu Duong A. A. Moldovyan Nikolay A. Moldovyan Minh Hiệu Nguyễn Bac Do Thi
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Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $$SO_0(2,m)$$ 2025-05-03 Ankita Pal Pampa Paul
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Positive definite functions as uniformly ergodic multipliers of the Fourier algebra 2025-05-03 Jorge Galindo Enrique Jordá Alberto Rodríguez-Arenas
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Lower and Upper Acyclicities on Unitary Cayley Graphs of Finite Commutative Rings 2025-05-02 Denpong Pongpipat Nuttawoot Nupo
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On Pseudo $BN$-algebras 2025-05-02 Irene Mae Y. Antabo Lyster Rey Cabardo Susan Dagondon Jocelyn P. Vilela
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Baxter Solution Sets with Duo-Vent Spike 2025-05-05
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One sided (B, C)-polarity in Banach space operators 2025-05-05 Btissam Laghmam Hassane Zguitti
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Compatible anti-pre-Lie algebras 2025-05-05 Zafar Normatov
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On the motivic description of truncated fundamental group rings 2025-05-03 Eduard Looijenga
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SOME PROPERTIES OF COFINITELY $$\oplus -g-$$SUPPLEMENTED MODULES 2025-05-05 Celıl Nebıyev Hasan Hüseyın Ökten
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Maps preserving the mean transforms of pairs of unitarily similar operators 2025-05-06 Abdellatif Bourhim Mostafa Mbekhta
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Single and multi-valued Hilbert-bundle renormings 2025-05-06 Alexandru Chirvăsitu
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The Structure within Rings 2025-05-06 William Paulsen
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An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-Hilfer Fractional Derivative 2025-05-06 R. Vivek K. Kanagarajan D. Vivek Turki D. Alharbi E. M. Elsayed
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Spectra and pseudo-spectra of tridiagonal k-Toeplitz matrices and the topological origin of the non-Hermitian skin effect 2025-05-07 Habib Ammari S Barandun Yannick De Bruijn Ping Liu Clemens Thalhammer
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A proper subclass of nonsingular rings 2025-05-07 Hamid Reza Moradi Shervin Sahebi Mohammad Habibi
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Global representation ring and Knutson Index 2025-05-07 Dylan Johnston Diego Martín Duro Dmitriy Rumynin
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Non-weight modules over the extended Heisenberg-Virasoro superalgebra 2025-05-07 Youxin Kong Haibo Chen Yuan Wu
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Some remarks on the isotropy groups of simple derivations 2025-05-07 Youzheng Ding Dan Yan
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Affine $$\mathcal{W}$$-Algebras and Miura Maps from 3d $$\mathcal {N}\text {=}\,4$$ Non-Abelian Quiver Gauge Theories 2025-05-07 Ioana Coman Myungbo Shim Masahito Yamazaki Yehao Zhou
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Z*-SMALL SUBMODULES AND Z*-HOLLOW MODULES 2025-05-01 Hiba R. Baanoon
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Conformal Blocks on Smoothings via Mode Transition Algebras 2025-05-07 Chiara Damiolini Angela Gibney Daniel Krashen
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Born Geometry via Künneth Structures and Recursion Operators 2025-05-07 M. J. D. Hamilton D. Kotschick Paula Naomi Pilatus
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SOME RESULTS ON GENERALIZED $$\eta $$-RICCI SOLITONS 2025-05-07 Amalendu Ghosh
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Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras 2025-05-07 Kevin Aguyar Brix Adam Dor-On Roozbeh Hazrat Efren Ruiz
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Notes on gauging noninvertible symmetries. Part II. Higher multiplicity cases 2025-05-07 Alonso Perez-Lona Daniel Robbins Eric Sharpe Thomas Vandermeulen Xingyang Yu
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On 2-absorbing ideals of generalized power series rings 2025-05-07 Kamal Paykan Mohammad Habibi
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Additive results for the generalized n-strong Drazin inverse in Banach algebras 2025-05-07 Kai Yan Weifeng Wang
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Centralizers with automorphisms of triangular algebras 2025-05-08 Xinfeng Liang Minghao Wang Mengya Zhang
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Generalized derivations with center-like subsets in prime rings 2025-05-07 Ahmed Aboubakr
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The Euler Characteristic, <i>q</i>-Matroids, and a Mobius Function 2025-05-08 Trygve Johnsen Rakhi Pratihar Tovohery Hajatiana Randrianarisoa
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A generalization of the dimension and radius of a subcategory of modules and its applications 2025-05-09 Yuki Mifune
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Wigglyhedra 2025-05-09 Asilata Bapat Vincent Pilaud
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Semicentral idempotents of upper triangular matrix ring 2025-05-09 Dimitrinka Vladeva
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Jordan Superderivations and Generalized Jordan Superderivations of Generalized Matrix Algebras 2025-05-09 Leila Heidari Zadeh
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Conciseness of first-order formulae 2025-05-02 Martina Conte Jan Moritz Petschick
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Rationalisation of multiple square roots in Feynman integrals 2025-05-08 Γεώργιος Παπαθανασίου Stefan Weinzierl Konglong Wu Yang Zhang
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Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms 2025-05-10 Ionuţ Chifan Michael J. Davis Daniel Drimbe