Bosonic–fermionic realizations of root spaces and bilinear forms for Lie superalgebras

DOI10.1142/S0219498820502035zbMath1472.17019OpenAlexW2974910976WikidataQ114614544 ScholiaQ114614544MaRDI QIDQ5133852

Namhee Kwon

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820502035

zbMATH Keywords

bilinear formsvertex representationsroot systemsLie superalgebrasvertex algebrasbosonicfermionic

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Vertex operators; vertex operator algebras and related structures (17B69) Root systems (17B22)

Related Items (1)

Relaxed category and vanishing of cohomology associated with quantum reduction

Cites Work

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• Vertex algebras, Kac-Moody algebras, and the Monster
• Spinor representations of affine Lie algebras
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Lie Superalgebras Arising from Bosonic Representation
• Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function

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