6 papers · 1 filter
Relations for annihilating fields of standard modules for affine Lie algebras
Mirko Primc
J. Lepowsky and R. L. Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via the vertex operator constructions of representations of affine Lie algebra…
Generators of relations for annihilating fields
Mirko Primc
For an untwisted affine Kac-Moody Lie algebra , and a given positive integer level , vertex operators , , generate…
Vertex algebras generated by Lie algebras
Mirko Primc
In this paper we introduce a notion of vertex Lie algebra U, in a way a "half" of vertex algebra structure sufficient to construct the corresponding local Lie algebra L(U) and a ve…
A basis of the basic $sl(3,C)\sptilde$-module
Arne Meurman, Mirko Primc
We construct a basis of the basic $sl(3,C)\sptilde$-module parameterized by colored partitions and, as a consequence, we obtain a Rogers-Ramanujan type combinatorial identity.
Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities
Arne Meurman, Mirko Primc
We show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde\goth g$ we construct the corresponding level vertex operator algebra…
Some crystal Rogers-Ramanujan type identities
Mirko Primc
By using the Kang-Kashiwara-Misra-Miwa-Nakashima-Nakayashiki crystal base character formula for the basic -module, and the principally specialized Weyl-Kac character for…