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Weight sum formulae in Lie algebra representations

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Publication:1858240
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DOI10.1016/S0021-8693(02)00013-3zbMath1014.17008WikidataQ115340553 ScholiaQ115340553MaRDI QIDQ1858240

John M. Burns, Michael J. Clancy

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)


zbMATH Keywords

hyperplanessimple complex Lie algebrasconessubsets of weights of finite-dimensional representations


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)


Related Items (2)

PARABOLIC SUBROOT SYSTEMS AND THEIR APPLICATIONS ⋮ ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA



Cites Work

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  • On actions of a maximal torus on orbits of highest weight vectors
  • Polar sets as nondegenerate critical submanifolds in symmetric spaces
  • Affine root systems and Dedekind's \(\eta\)-function
  • Les sous-groupes fermes de rang maximum des groupes de Lie clos
  • The NEF Value and Defect of Homogeneous Line Bundles
  • Nef value of homogeneous line bundles and related vanishing theorems
  • Introduction to Lie Algebras and Representation Theory




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