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

100%

Primc M.

Open Mathematics

2013

tom 11

nr 2

197-225

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.

A family of regular vertex operator algebras with two generators

88%

Adamović D.

Open Mathematics

2007

tom 5

nr 1

1-18

For every m ∈ ℂ ∖ {0, −2} and every nonnegative integer k we define the vertex operator (super)algebra D m,k having two generators and rank $$\frac{{3m}}{{m + 2}}$$ . If m is a positive integer then D m,k can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that D m,k is a regular vertex operator (super) algebra and find the number of inequivalent irreducible modules.

Ograniczanie wyników

2 Open Mathematics

1 Adamović D.

1 Primc M.

1 2013

1 2007

Wyniki wyszukiwania

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

A family of regular vertex operator algebras with two generators