Representations and cohomology for Frobenius–Lusztig kernels

Christopher M. Drupieski

Type: Article

Publication Date: 2010-09-23

Citations: 17

DOI: https://doi.org/10.1016/j.jpaa.2010.09.006

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Pure and Applied Algebra - View

Similar Works

Action	Title	Year	Authors
+	Cohomology of Frobenius{Lusztig Kernels of Quantized Enveloping Algebras	2009	Christopher M. Drupieski
+ PDF Chat	Cohomology in Singular Blocks for a Quantum Group at a Root of Unity	2018	Hankyung Ko
+	Some Topics on Frobenius–Lusztig Kernels, II	1998	Eric Müller
+	Representation type and Auslander-Reiten theory of Frobenius-Lusztig kernels	2012	Julian Külshammer
+	A Frobenius homomorphism for Lusztig’s quantum groups for arbitrary roots of unity	2015	Simon Lentner
+	Another realization of the category of modules over the small quantum group	2000	Sergey Arkhipov Dennis Gaitsgory
+	Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1	2023	Cris Negron
+ PDF Chat	Classification of Finite-Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids	2015	Saeid Azam Hiroyuki Yamane Malihe Yousofzadeh
+ PDF Chat	On Injective Modules and Support Varieties for the Small Quantum Group	2010	Christopher M. Drupieski
+	Category O for quantum groups	2011	Henning Haahr Andersen Volodymyr Mazorchuk
+	Category O for quantum groups	2011	Henning Haahr Andersen Volodymyr Mazorchuk
+	A Frobenius homomorphism for Lusztig's quantum groups over arbitrary roots of unity	2014	Simon Lentner
+	A Frobenius homomorphism for Lusztig's quantum groups over arbitrary roots of unity	2014	Simon Lentner
+	On nilpotent commuting varieties and cohomology of Frobenius kernels	2014	Nham V. Ngo
+	On nilpotent commuting varieties and cohomology of Frobenius kernels	2014	Nham V. Ngo
+	Cohomology for quantum groups via the geometry of the nullcone	2011	Christopher P. Bendel Daniel K. Nakano Brian Parshall Cornelius Pillen
+	Quasi-Frobenius-Lusztig kernels for simple Lie algebras	2013	Gongxiang Liu F. Van Oystaeyen Yinhuo Zhang
+	Some Topics on Frobenius–Lusztig Kernels, I	1998	Eric Müller
+ PDF Chat	Category $\mathcal O$ for quantum groups	2015	Henning Haahr Andersen Volodymyr Mazorchuk
+	Cohomology for quantum groups via the geometry of the nullcone	2011	Christopher P. Bendel Daniel K. Nakano Brian Parshall Cornelius Pillen

Works That Cite This (17)

Action	Title	Year	Authors
+	On Frobenius–Lusztig Kernels of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">\|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>	2024	Qiang Fu Zhehai Yang
+ PDF Chat	BLM realization for Frobenius–Lusztig kernels of type $A$	2016	Qiang Fu
+ PDF Chat	Cohomology for infinitesimal unipotent algebraic and quantum groups	2012	Christopher M. Drupieski Daniel K. Nakano Nham V. Ngo
+	Cohomology for Frobenius kernels of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>	2013	Nham V. Ngo
+	Support varieties and representation types for basic classical Lie superalgebras	2012	Gongxiang Liu
+	Finite generation of the cohomology of quotients of PBW algebras	2013	Piyush Shroff
+	Finite Generation of the Cohomology of Quotients of PBW Algebras	2012	Piyush Shroff
+	Cohomology for Quantum Groups Via the Geometry of the Nullcone	2014	Christopher P. Bendel Daniel K. Nakano Brian Parshall Cornelius Pillen
+ PDF Chat	Auslander-Reiten theory of Frobenius-Lusztig kernels	2013	Julian Külshammer
+	Noncommutative Tensor Triangular Geometry and Its Applications to Representation Theory	2021	Kent B. Vashaw

Works Cited by This (45)

Action	Title	Year	Authors
+	Hopf Algebras and Their Actions on Rings	1993	Susan Montgomery
+	Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p : independence of p	1994	H. H. Andersen Jens Carsten Jantzen W. Soergel
+ PDF Chat	Lie algebras and algebraic groups	2006	Patrice Tauvel Rupert W. T. Yu
+	Conjugacy Classes in Semisimple Algebraic Groups	2011	James E. Humphreys
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys
+ PDF Chat	A bound on the complexity for $G\sb rT$ modules	1995	Daniel K. Nakano
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen
+	Classical Groups and Related Topics	1989	Alexander J. Hahn Donald G. James Zhe Xian Wan
+	Lectures on Quantum Groups	1995	Jens Carsten Jantzen
+ PDF Chat	Frobenius splitting of cotangent bundles of flag varieties	1999	Shrawan Kumar Niels Lauritzen Jesper Funch Thomsen