WEIGHT MULTIPLICITY FREE REPRESENTATIONS, ${\frak g}$-ENDOMORPHISM ALGEBRAS, AND DYNKIN POLYNOMIALS

DOI10.1112/S0024610703004873zbMath1052.17001arXivmath/0112314MaRDI QIDQ4819178

Dmitri I. Panyushev

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112314

zbMATH Keywords

equivariant cohomologymoduleweightalgebraic group\(\mathfrak{g}\)-endomorphism algebraDynkin polynomial

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Group actions on varieties or schemes (quotients) (14L30) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

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