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Exterior powers of the adjoint representation

  Published:1997-04-01
 Printed: Apr 1997
  • Mark Reeder
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Abstract

Exterior powers of the adjoint representation of a complex semisimple Lie algebra are decomposed into irreducible representations, to varying degrees of satisfaction.
Keywords: Lie algebras, adjoint representation, exterior algebra Lie algebras, adjoint representation, exterior algebra
MSC Classifications: 20G05, 20C30, 22E10, 22E60 show english descriptions Representation theory
Representations of finite symmetric groups
General properties and structure of complex Lie groups [See also 32M05]
Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx}
20G05 - Representation theory
20C30 - Representations of finite symmetric groups
22E10 - General properties and structure of complex Lie groups [See also 32M05]
22E60 - Lie algebras of Lie groups {For the algebraic theory of Lie algebras, see 17Bxx}
 

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