Action of the ``nilpotent torus on representations

DOI10.1016/0001-8708(90)90028-LzbMath0838.17004OpenAlexW2088431867MaRDI QIDQ1813670

Ranee Kathryn Brylinski

Publication date: 25 June 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90028-l

zbMATH Keywords

nilpotent elementsuniversal enveloping algebratriangular decompositionweight multiplicitiescomplex semisimple Lie algebraLie centralizerirreducible linear representationsnilpotent torusprincipal nilpotents

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Actions of ``nilpotent tori on \(G\)-varieties.

Cites Work

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• Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
• Lie Group Representations on Polynomial Rings

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