The center of the universal enveloping algebra of a Lie algebra in characteristic p

Keywords

Universal enveloping algebra, Lie superalgebra, Graded Lie algebra, Mathematics, Center (category theory)

References

• Representations of Algebraic GroupsRobert Steinberg — 1963
• Certains schémas de groupes semi-simplesClaude Chevalley — 1961
• Structure of certain induced representations of complex semisimple Lie algebrasDaya-Nand Verma — 1968
• ON REPRESENTATIONS OF CLASSICAL SEMISIMPLE LIE ALGEBRAS OF CHARACTERISTIC pA N Rudakov — 1970
• Rationality properties of linear algebraic groups, IIArmand Borel, T. A. Springer — 1968
• Regular elements of semisimple algebraic groupsRobert Steinberg — 1965
• Lectures In Abstract AlgebraNathan Jacobson — 1951
• Some arithmetical results on semi-simple lie algebrasT. A. Springer — 1966
• Modular representations of classical Lie algebras and semisimple groupsJames E. Humphreys — 1971
• The Representations of Lie Algebras of Prime CharacteristicHans Zassenhaus — 1954
• Prime Power Representations Of Finite Linear GroupsRobert Steinberg — 1956
• Lie Group Representations on Polynomial RingsBertram Kostant — 1963
• Prime Power Representations of Finite Linear Groups IIRobert Steinberg — 1957
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie GroupBertram Kostant — 1959

Cited by

• Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.J. Dixmier — 1979
• Kostant section, universal centralizer, and a modular derived Satake equivalenceSimon Riche — 2014
• Centers of universal enveloping algebras of Lie superalgebras in prime characteristicJunyan Wei, Lisun Zheng, Bin Shu — 2012
• Fibration de Hitchin et endoscopieBáo Châu Ngô — 2006
• Infinitesimal Hecke algebra of sl_2 in positive characteristicAkaki Tikaradze — 2007
• Le lemme fondamental pour les algèbres de LieBáo Châu Ngô — 2010
• Complexe canonique de deuxi\`eme esp\`ece, vari\'et\'e commutante et bic^one nilpotent d'une alg\`ebre de Lie r\'eductiveJean-Yves Charbonnel — 2005
• Singular Localization and Intertwining Functors for Reductive Lie Algebras in Prime CharacteristicRoman Bezrukavnikov, Ivan Mirković, Dmitriy Rumynin — 2006
• On the Commuting variety of a reductive Lie algebra and other related varieties.Jean-Yves Charbonnel, Mouchira Zaiter — 2012
• Cohomology of induced representations for algebraic groupsHenning Haahr Andersen, Jens Carsten Jantzen — 1984
• Vinberg’s θ-groups in positive characteristic and Kostant–Weierstrass slicesPaul Lévy — 2009
• MODULAR REPRESENTATIONS OF SIMPLE LIE ALGEBRASJoan E. Humphreys — 1998
• Irreducible Representations of the Lie Algebra sl(n) Over a Field of Positive CharacteristicА. Н. Панов — 1987
• Factorial properties of the enveloping algebra of a nilpotent Lie algebra in prime characteristicAmiram Braun — 2007
• Involutions of reductive Lie algebras in positive characteristicPaul Lévy — 2005
• The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebrasKenneth A. Brown, Iain J. Gordon — 1999
• Nilpotent Bicone and Characteristic Submodule of a Reductive Lie AlgebraJean-Yves Charbonnel, Anne Moreau — 2007
• Centers of reduced enveloping algebrasIvan Mirković, Dmitriy Rumynin — 1999
• Commutative quotients of finite W-algebrasAlexander Premet — 2008
• The Zassenhaus Variety of a Classical Semisimple Lie Algebra in Finite CharacteristicYa S Krylyuk — 1987

Related papers

• Supersymmetry and Lie algebrasRobert Y. Levine, Y. Tomozawa — 1982
• Symmetry for the Enveloping Algebra of a Restricted Lie AlgebraJohn Schue — 1965
• Research on the Universal Enveloping Algebra U ( L~q ) of the General q-Lie AlgebraCuiling Ma — 2011
• Symmetry for the enveloping algebra of a restricted Lie algebraJohn Schue — 1965
• Two programs to perform certain symbolic calculations in the enveloping algebra of a lie algebraH. De Meyer, Greet Vanden Berghe, Philippe De Wilde — 1987
• Primitive ideals of the quantised enveloping algebra of a complex lie algebraSei‐Qwon Oh — 1994