The Images of Restriction Maps and Dirac Cohomology

DOI10.1080/00927870601074897zbMath1133.17006OpenAlexW2104210030MaRDI QIDQ3429310

Jianjun Cheng

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601074897

zbMATH Keywords

Weyl groupDirac operatorCoxeter numbersymmetric algebraDirac cohomology

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants

Cites Work

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• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Dirac operator and the discrete series
• Basic sets of invariant polynomials for finite reflection groups
• Some Results on Invariant Differential Operators on Symmetric Spaces
• Dimensions of Spaces of Generalized Spherical Functions
• Introduction to Lie Algebras and Representation Theory
• Lie groups beyond an introduction

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