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Principal subspaces for the quantum affine vertex algebra in type A1(1) (CROSBI ID 301131)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Butorac, Marijana ; Kožić, Slaven Principal subspaces for the quantum affine vertex algebra in type A1(1) // Journal of pure and applied algebra, 226 (2022), 6; 106973, 14. doi: 10.1016/j.jpaa.2021.106973

Podaci o odgovornosti

Butorac, Marijana ; Kožić, Slaven

engleski

Principal subspaces for the quantum affine vertex algebra in type A1(1)

By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof–Kazhdan quantum affine vertex algebra of integer level k>=1 and type A1(1). We show that the principal subspaces possess the quantum vertex algebra structure, which turns to the usual vertex algebra structure of the principal subspaces of generalized Verma and standard modules at the classical limit. Moreover, we find their topological quasi-particle bases which correspond to the sum sides of certain Rogers–Ramanujan-type identities.

Quantum vertex algebra ; Principal subspace ; Combinatorial bases

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Podaci o izdanju

226 (6)

2022.

106973

14

objavljeno

0022-4049

1873-1376

10.1016/j.jpaa.2021.106973

Povezanost rada

Matematika

Poveznice
Indeksiranost