Peter Littelmann

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All published works

Action	Title	Year	Authors
+ PDF Chat	Combinatorial Seshadri stratifications on normal toric varieties	2025	Rocco Chirivì Martina Costa Cesari Xin Fang Peter Littelmann
+ PDF Chat	Schubert valuations on Grassmann varieties	2024	Rocco Chirivì Xin Fang Peter Littelmann
+ PDF Chat	Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	2024	Rocco Chirivì Xin Fang Peter Littelmann
+	On normal Seshadri stratifications	2024	Rocco Chirivì Xin Fang Peter Littelmann
+ PDF Chat	Seshadri stratifications and standard monomial theory	2023	Rocco Chirivì Xin Fang Peter Littelmann
+	LS algebras, valuations, and Schubert varieties	2023	Rocco Chirivì Xin Fang Peter Littelmann
+	Bases of tensor products and geometric Satake correspondence	2022	Pierre Baumann Stéphane Gaussent Peter Littelmann
+ PDF Chat	Seshadri stratification for Schubert varieties and standard monomial theory	2022	Rocco Chirivì Xin Fang Peter Littelmann
+	Algebraic Groups	2022	Corrado De Concini Philippe Gille Peter Littelmann
+	Seshadri stratification for Schubert varieties and Standard Monomial Theory	2022	Rocco Chirivì Xin Fang Peter Littelmann
+	LS Algebras, Valuations and Schubert Varieties	2022	Rocco Chirivì Xin Fang Peter Littelmann
+	On normal Seshadri stratifications	2022	Rocco Chirivì Xin Fang Peter Littelmann
+	Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory	2022	Rocco Chirivì Xin Fang Peter Littelmann
+ PDF Chat	Seshadri stratifications and standard monomial theory	2021	Rocco Chirivì Xin Fang Peter Littelmann
+	Seshadri stratifications and standard monomial theory	2021	Rocco Chirivì Xin Fang Peter Littelmann
+	Algebraic Groups	2018	Corrado De Concini Peter Littelmann Zinovy Reichstein
+ PDF Chat	Simplices in Newton–Okounkov bodies and the Gromov width of coadjoint orbits	2017	Xin Fang Peter Littelmann Milena Pabiniak
+ PDF Chat	From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies	2017	Xin Fang Peter Littelmann
+	Essential bases and toric degenerations arising from birational sequences	2017	Xin Fang Ghislain Fourier Peter Littelmann
+	From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies	2017	Xin Fang Peter Littelmann
+ PDF Chat	On toric degenerations of flag varieties	2016	Xin Fang Ghislain Fourier Peter Littelmann
+ PDF Chat	Degenerate flag varieties and Schubert varieties: a characteristic free approach	2016	Giovanni Cerulli Irelli Martina Lanini Peter Littelmann
+ PDF Chat	FAVOURABLE MODULES: FILTRATIONS, POLYTOPES, NEWTON–OKOUNKOV BODIES AND FLAT DEGENERATIONS	2016	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	On toric degenerations of flag varieties	2016	Xin Fang Ghislain Fourier Peter Littelmann
+ PDF Chat	Fusion products and toroidal algebras	2015	Deniz Kus Peter Littelmann
+	Essential bases and toric degenerations arising from birational sequences	2015	Xin Fang Ghislain Fourier Peter Littelmann
+ PDF Chat	Symplectic Degenerate Flag Varieties	2013	Evgeny Feigin Michael Finkelberg Peter Littelmann
+	Favourable modules: Filtrations, polytopes, Newton-Okounkov bodies and flat degenerations	2013	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	PBW-filtration over ℤ and Compatible Bases for V_Z(\lambda) in Type A_n and C_n	2013	Evgeny Feigin Peter Littelmann Fourier Ghislain
+	Favourable modules: Filtrations, polytopes, Newton-Okounkov bodies and flat degenerations	2013	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n	2012	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	Enveloping Algebras and Geometric Representation Theory	2012	Shrawan Kumar Peter Littelmann Wolfgang Soergel
+	PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type ${\tt A}_n$ and ${\tt C}_n$	2012	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	SU(N) Clebsch-Gordan coefficients and non-Abelian symmetries	2012	Arne Alex Lukas Everding Peter Littelmann Jan von Delft
+	Knuth relations, tableaux and MV-cycles	2012	Stéphane Gaussent Peter Littelmann An Hoa Nguyen
+ PDF Chat	One-skeleton galleries, the path model and a generalization of Macdonald's formula for Hall-Littlewood polynomials	2012	Stéphane Gaussent Peter Littelmann
+	PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type ${\tt A}_n$ and ${\tt C}_n$	2012	Evgeny Feigin Ghislain Fourier Peter Littelmann
+ PDF Chat	One-Skeleton Galleries, the Path Model, and a Generalization of Macdonald's Formula for Hall-Littlewood Polynomials	2011	Stéphane Gaussent Peter Littelmann
+ PDF Chat	PBW Filtration and Bases for Symplectic Lie Algebras	2011	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	PBW filtration and bases for irreducible modules in type A n	2010	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	PBW filtration and bases for symplectic Lie algebras	2010	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	ONE-SKELETON GALLERIES, HALL-LITTLEWOOD POLYNOMIALS AND THE PATH MODEL	2010	Ephane Gaussent Peter Littelmann
+ PDF Chat	Zhu's algebras, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>C</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-algebras and abelian radicals	2010	Boris Feigin Evgeny Feigin Peter Littelmann
+ PDF Chat	Zhu's algebra and the<i>C</i><sub>2</sub>-algebra in the symplectic and the orthogonal cases	2010	Evgeny Feigin Peter Littelmann
+	PBW filtration and bases for irreducible modules in type $A_n$	2010	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	PBW filtration and bases for symplectic Lie algebras	2010	Evgeny Feigin Ghislain Fourier Peter Littelmann
+	One-skeleton galleries, the path model and a generalization of Macdonald's formula for Hall-Littlewood polynomials	2010	Stéphane Gaussent Peter Littelmann
+	Enveloping Algebras and Geometric Representation Theory	2009	Shrawan Kumar Peter Littelmann Wolfgang Soergel
+	Zhu's algebras, $C_2$-algebras and abelian radicals	2009	Boris Feigin Evgeny Feigin Peter Littelmann
+ PDF Chat	Equations Defining Symmetric Varieties and Affine Grassmannians	2008	Rocco Chirivì Peter Littelmann Andrea Maffei
+ PDF Chat	Superbosonization of Invariant Random Matrix Ensembles	2008	Peter Littelmann H.-J. Sommers Martin R. Zirnbauer
+ PDF Chat	Über einige Arbeiten von Andrei Okounkov	2007	Peter Littelmann
+	Equations defining symmetric varieties and affine Grassmannians	2007	Rocco Chirivì Peter Littelmann Andrea Maffei
+	Equations defining symmetric varieties and affine grassmannians	2007	Rocco Chirivì Peter Littelmann Andrea Maffei
+	Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions	2006	Ghislain Fourier Peter Littelmann
+ PDF Chat	Tensor Product Structure of Affine Demazure Modules and Limit Constructions	2006	Ghislain Fourier Peter Littelmann
+	Enveloping Algebras and Geometric Representation Theory	2005	Shrawan Kumar Peter Littelmann Wolfgang Soergel
+	Weyl modules, affine Demazure modules, fusion products and limit constructions	2005	Ghislain Fourier Peter Littelmann
+	Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions	2005	Ghislain Fourier Peter Littelmann
+ PDF Chat	LS galleries, the path model, and MV cycles	2005	Stéphane Gaussent Peter Littelmann
+	Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions	2005	Ghislain Fourier Peter Littelmann
+	Tensor product structure of affine Demazure modules and limit constructions	2004	Ghislain Fourier Peter Littelmann
+ PDF Chat	Adapted algebras and standard monomials	2004	Philippe Caldero Peter Littelmann
+	Tensor product structure of affine Demazure modules and limit constructions	2004	Ghislain Fourier Peter Littelmann
+	LS-Galleries, the path model and MV-cycles	2003	Stéphane Gaussent Peter Littelmann
+ PDF Chat	Richardson varieties and equivariant K-theory	2003	V. Lakshmibai Peter Littelmann
+	A Pieri-Chevalley Type Formula for K (G/B) and Standard Monomial Theory	2003	Peter Littelmann C. S. Seshadri
+	Bases for representations, LS-paths and Verma flags	2003	Peter Littelmann
+	LS-Galleries, the path model and MV-cycles	2003	Stéphane Gaussent Peter Littelmann
+ PDF Chat	Algebraization of Frobenius Splitting via Quantum Groups	2002	Shrawan Kumar Peter Littelmann
+ PDF Chat	None	2002	V. Lakshmibai Peter Littelmann Péter Magyar
+	Richardson Varieties and Equivariant K-Theory	2002	V. Lakshmibai Peter Littelmann
+	Adapted algebras and standard monomials	2002	Philippe Caldero Peter Littelmann
+ PDF Chat	Algebraization of Frobenius Splitting via Quantum Groups	2002	Shrawan Kumar Peter Littelmann
+	Frobenius splitting in characteristic zero and the quantum Frobenius map	2000	Shrawan Kumar Peter Littelmann
+	Algebraization of Frobenius splitting via quantum groups	2000	Shrawan Kumar Peter Littelmann
+	Cones, crystals, and patterns	1998	Peter Littelmann
+	Standard Monomial Theory and applications	1998	V. Lakshmibai Peter Littelmann Péter Magyar
+	The Path Model, the Quantum Frobenius Map and Standard Monomial Theory	1998	Peter Littelmann
+ PDF Chat	Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras	1998	Peter Littelmann
+	An algorithm to compute bases and representation matrices for SLn + 1-representations	1997	Peter Littelmann
+	A Plactic Algebra for Semisimple Lie Algebras	1996	Peter Littelmann
+	An effective method to classify nilpotent orbits	1996	Peter Littelmann
+	Paths and Root Operators in Representation Theory	1995	Peter Littelmann
+	Crystal Graphs and Young Tableaux	1995	Peter Littelmann
+	The Path Model for Representations of Symmetrizable Kac-Moody Algebras	1995	Peter Littelmann
+	A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras	1994	Peter Littelmann
+	On Spherical Double Cones	1994	Peter Littelmann
+	Good filtrations and decomposition rules for representations with standard monomial theory.	1992	Peter Littelmann
+	On the Poincaré series of the invariants of binary forms	1990	Peter Littelmann Claudio Procesi
+	A generalization of the Littlewood-Richardson rule	1990	Peter Littelmann
+	Koreguläre und äquidimensionale Darstellungen	1989	Peter Littelmann
+	Der Grad erzeugender Funktionen von Invariantenringen	1987	Friedrich Knop Peter Littelmann

Common Coauthors

Coauthor	Papers Together
Ghislain Fourier	19
Rocco Chirivì	16
Evgeny Feigin	16
Xin Fang	12
Xin Fang	8
Stéphane Gaussent	8
Shrawan Kumar	6
V. Lakshmibai	4
Wolfgang Soergel	3
Andrea Maffei	3
Ghislain Fourier	3
Boris Feigin	2
Péter Magyar	2
Philippe Caldero	2
Corrado De Concini	2
Deniz Kus	1
An Hoa Nguyen	1
Friedrich Knop	1
Fourier Ghislain	1
Pierre Baumann	1
Lukas Everding	1
H.-J. Sommers	1
Martina Costa Cesari	1
C. S. Seshadri	1
Ephane Gaussent	1
Jan von Delft	1
Philippe Gille	1
Arne Alex	1
Shrawan Kumar	1
Milena Pabiniak	1
Claudio Procesi	1
Michael Finkelberg	1
Martin R. Zirnbauer	1
Martina Lanini	1
Giovanni Cerulli Irelli	1
Zinovy Reichstein	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras	1994	Peter Littelmann	25
+ PDF Chat	Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras	1998	Peter Littelmann	22
+	Paths and Root Operators in Representation Theory	1995	Peter Littelmann	20
+	Standard monomial theory	1981	C. Musili C. S. Seshadri	16
+	Projective normality of flag varieties and Schubert varieties	1985	S. Ramanan A. Ramanathan	13
+ PDF Chat	Geometry of GP−V	1986	V. Lakshmibai C. S. Seshadri	13
+	Quantum Groups and Their Primitive Ideals	1995	Anthony Joseph	13
+	Introduction to Quantum Groups	2010	G. Lusztig	13
+ PDF Chat	Geometry of 𝐺/𝑃	1979	V. Lakshmibai C. Musili C. S. Seshadri	11
+	PBW filtration and bases for irreducible modules in type A n	2010	Evgeny Feigin Ghislain Fourier Peter Littelmann	11
+ PDF Chat	Okounkov bodies and toric degenerations	2012	Dave Anderson	10
+	A Plactic Algebra for Semisimple Lie Algebras	1996	Peter Littelmann	10
+ PDF Chat	Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory	2012	Kiumars Kaveh Askold Khovanskiĭ	10
+	Kac-Moody Groups, their Flag Varieties and Representation Theory	2002	Shrawan Kumar	9
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	9
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	9
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	9
+	Finite-dimensional representations of the group of unimodular matrices	1950	Israel M. Gelfand Michael .L. Zetlin	9
+	Some Enumerative Results in the Theory of Forms	1943	W. V. D. Hodge	8
+	Standard Monomial Theory and applications	1998	V. Lakshmibai Peter Littelmann Péter Magyar	8
+	Crystal bases of modified quantized enveloping algebra	1994	Masaki Kashiwara	8
+ PDF Chat	Canonical bases arising from quantized enveloping algebras	1990	G. Lusztig	8
+	Canonical Bases Arising from Quantized Enveloping Algebras. II	1990	G. Lusztig	7
+	A generalization of the Littlewood-Richardson rule	1990	Peter Littelmann	7
+	On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells	1985	Vinay V. Deodhar	7
+ PDF Chat	Toric degenerations of Schubert varieties	2002	Philippe Caldero	7
+	Geometry ofG/P—IV (Standard monomial theory for classical types)	1979	V. Lakshmibai C. Musili C. S. Seshadri	7
+	The crystal base and Littelmann’s refined Demazure character formula	1993	Masaki Kashiwara	7
+	Frobenius splitting in characteristic zero and the quantum Frobenius map	2000	Shrawan Kumar Peter Littelmann	7
+ PDF Chat	Gelfand–Tsetlin polytopes and Feigin–Fourier–Littelmann–Vinberg polytopes as marked poset polytopes	2011	Federico Ardila Thomas Bliem Dido Salazar	7
+	LS algebras and application to Schubert varieties	2000	Rocco Chirivì	7
+	Combinatorial Results on Demazure Modules	1998	Raïka Dehy	6
+	Equations defining schubert varieties and frobenius splitting of diagonals	1987	A. Ramanathan	6
+	Some remarks on nilpotent orbits	1980	Victor G. Kač	6
+	Standard Monomial Theory	2007	V. Lakshmibai K. N. Raghavan	6
+	Uniqueness and presentation of Kac-Moody groups over fields	1987	Jacques Tits	6
+ PDF Chat	Crystal bases and Newton–Okounkov bodies	2015	Kiumars Kaveh	6
+	Degenerations of flag and Schubert varieties to toric varieties	1996	Nicolae Gonciulea V. Lakshmibai	6
+	Zhu's algebra, the C_2 algebra, and twisted modules	2008	Matthias R. Gaberdiel Terry Gannon	6
+	Demazure character formula in arbitrary Kac-Moody setting	1987	Shrawan Kumar	6
+	Crystalizing theq-analogue of universal enveloping algebras	1990	Masaki Kashiwara	6
+ PDF Chat	The PBW Filtration, Demazure Modules and Toroidal Current Algebras	2008	Evgeny Feigin	6
+ PDF Chat	LS galleries, the path model, and MV cycles	2005	Stéphane Gaussent Peter Littelmann	6
+	On Spherical Double Cones	1994	Peter Littelmann	5
+ PDF Chat	Filtrations of $G$-modules	1990	Olivier Mathieu	5
+ PDF Chat	FAVOURABLE MODULES: FILTRATIONS, POLYTOPES, NEWTON–OKOUNKOV BODIES AND FLAT DEGENERATIONS	2016	Evgeny Feigin Ghislain Fourier Peter Littelmann	5
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen	5
+	Schubert varieties are arithmetically Cohen-Macaulay	1985	A. Ramanathan	5
+	Cones, crystals, and patterns	1998	Peter Littelmann	5
+	The PBW filtration	2009	Evgeny Feigin	5