Combinatorial bases of modules for affine Lie algebra B 2(1)

• Autorzy: Mirko Primc
• Języki publikacji: EN

Abstrakty

EN

We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2(1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2(1) and the integrable highest weight module L(kΛ0) for A 1(1) have the same parametrization of combinatorial bases and the same presentation P/I.

Słowa kluczowe

EN

Affine Lie algebras; Vertex operator algebras; Combinatorial bases

Kategorie tematyczne

• 17B67: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
• 05A19: Combinatorial identities, bijective combinatorics
• 17B69: Vertex operators; vertex operator algebras and related structures

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 2
• Strony: 197-225

Daty

wydano

2013-02-01

online

2012-11-21

Twórcy

autor

Mirko Primc

• University of Zagreb

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0111-x