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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 3, Pages 24–33
DOI: https://doi.org/10.4213/faa3156 (Mi faa3156) 		 
Commutative Vertex Algebras and Their Degenerations

B. L. Feiginab

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b National Research University "Higher School of Economics", Moscow
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DOI: https://doi.org/10.4213/faa3156
Abstract: Commutative vertex algebras arising as subalgebras of the vertex algebras corresponding to the Kac–Moody algebras are studied. Systems of defining relations and degenerations into algebras with quadratic relations are described. The results can be used to obtain fermionic formulas for characters.
Keywords: vertex algebras, Abelianization, quadratic algebras.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-12401-офи_м
12-01-00836-а
National Research University Higher School of Economics 12-01-0016
Received: 08.01.2014
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 3, Pages 175–182
DOI: https://doi.org/10.1007/s10688-014-0059-7
Bibliographic databases:
Document Type: Article
UDC: 512.554.32
Language: Russian
Citation: B. L. Feigin, “Commutative Vertex Algebras and Their Degenerations”, Funktsional. Anal. i Prilozhen., 48:3 (2014), 24–33; Funct. Anal. Appl., 48:3 (2014), 175–182
Citation in format AMSBIB
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