Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting

DOI10.1016/j.aim.2007.10.005zbMath1177.17016arXiv0704.3342OpenAlexW2040454841WikidataQ123004393 ScholiaQ123004393MaRDI QIDQ2480299

Paolo Papi, Victor G. Kac, Pierluigi Möseneder Frajria

Publication date: 31 March 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3342

zbMATH Keywords

Dirac operatorvertex algebrasaffine algebrasmultiplets of representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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Classifying $$A_\mathfrak {q}(\lambda )$$ A q ( λ ) Modules by Their Dirac Cohomology, Dirac operator and its cohomology for the quantum group Uq(𝖘𝖑𝟐), Twisted Dirac Index and Applications to Characters, Dirac operators on quadratic Lie superalgebras, A Casselman-Osborne theorem for rational Cherednik algebras, Corrigendum to: ``Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting, Dirac cohomology, elliptic representations and endoscopy, Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels

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