Weyl-Kac character formula for affine Lie algebras in Deligne's categories

DOI10.1016/j.jalgebra.2020.06.027OpenAlexW3043116831WikidataQ115350451 ScholiaQ115350451MaRDI QIDQ2197559

Aleksei Pakharev

Publication date: 1 September 2020

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

Full work available at URL: https://arxiv.org/abs/1906.02902

zbMATH Keywords

affine Lie algebraDeligne's categoryWeyl-Kac character formulaNekrasov-Okounkov hook length formula

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx)

Cites Work

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• Representation theory in complex rank. II
• Thick ideals in Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(O_\delta)\)
• Infinite dimensional Lie algebras. An introduction
• On the blocks of the walled Brauer algebra.
• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• Universal characters from the MacDonald identities
• A Nekrasov-Okounkov type formula for type C
• Deligne’s category \underline{𝑅𝑒}𝑝(𝐺𝐿_{𝛿}) and representations of general linear supergroups
• The blocks of the Brauer algebra in characteristic zero
• Dedekind's η-function and the cohomology of infinite dimensional Lie algebras

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