Geodesic
Commutative Vertex Algebras and Their Degenerations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 24-33

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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.
Mots-clés : vertex algebras
Keywords: Abelianization, quadratic algebras. 
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     author = {B. L. Feigin},
     title = {Commutative {Vertex} {Algebras} and {Their} {Degenerations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {24--33},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a2/}
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B. L. Feigin. Commutative Vertex Algebras and Their Degenerations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 24-33. http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a2/