Twisted representation rings and Dirac induction

DOI10.1016/j.jpaa.2005.04.001zbMath1090.19001arXivmath/0403524OpenAlexW2005939331MaRDI QIDQ2491731

Gregory D. Landweber

Publication date: 29 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0403524

zbMATH Keywords

twisted representation rings

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Frobenius induction, Burnside and representation rings (19A22) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Equivariant (K)-theory (19L47)

Related Items (3)

Representation rings of Lie superalgebras ⋮ Dirac induction for loop groups ⋮ Character formulæ and GKRS multiplets in equivariant \(K\)-theory

Cites Work

• Representation rings of Lie superalgebras
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• A generalization of the Bott-Weil theorem and Euler number multiplets of representations
• Multiplets of representations and Kostant's Dirac operator for equal rank loop groups
• Lie algebra cohomology and the fusion rules
• The non-commutative Weil algebra
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Clifford modules
• On the structure of Hopf algebras
• Equivariant K-theory
• Graded Brauer groups and K-theory with local coefficients
• Equivariant \(K\)-theory and completion
• Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
• The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups I
• The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups II
• The Weyl character formula, the half-spin representations, and equal rank subgroups
• Group Extensions and Cohomology for Locally Compact Groups. IV
• Twisted equivariantK-theory with complex coefficients
• Lie superalgebras
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