1,720,987 research outputs found
A combinatorial proof of a partition identity related to level 3 standard modules for an affine Lie algebra
No full textWe give a combinatorial proof of a partition identity discovered via vertex operator representations of affine Lie algebras
A construction of the level 3 modules for the affine Lie algebra A22 and a new combinatorial identity of the Rogers-Ramanujan type
No full textWe obtain a vertex operator construction of level 3 standard representations for the affine Lie algebra A22. As a corollary, we also get new combinatorial identities
Representations of level 5 for a twisted affine Lie algebra and combinatorial identities
No full textVarious Publications Series No. 46, University of Aarhus, Denmar
On some theorems of Hirschhorn
No full textIt is found that four theorems of Hirschhorn [Hirschhorn, M. D. (1979). Some partition theorems of the Rogers-Ramanujan type. J. Comb. Th. A 27:33-37] correspond to standard representations of an affine Lie algebra. Using this correspondence two more theorems of the same type are found. It turns out that a classical result of Euler also appears in this context
On Vertex Operator Algebras
No full textA definition of a vertex operator algebra is given and some properties are discussed
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