On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra \(gl(n)\)

DOI10.1016/S0022-4049(99)00150-4zbMath0997.17006WikidataQ115340054 ScholiaQ115340054MaRDI QIDQ1587982

R. Smith

Publication date: 13 November 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Euler characteristicGrothendieck groupsequivariant modulesminimal degeneration of nilpotent orbits

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Determinantal varieties (14M12) Group actions on varieties or schemes (quotients) (14L30) Classical real and complex (co)homology in algebraic geometry (14F25) Grothendieck groups, (K)-theory and commutative rings (13D15)

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Cites Work

• The equations of conjugacy classes of nilpotent matrices
• Polarizations in the classical groups
• On the geometry of conjugacy classes in classical groups
• The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
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