Functional Analysis and Its Applications

, Volume 48, Issue 3, pp 175–182 | Cite as

Commutative vertex algebras and their degenerations

  • B. L. FeiginEmail author


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.

Key words

vertex algebras Abelianization quadratic algebras 


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsNational Research University “Higher School of Economics”MoscowRussia

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