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math.QA1998
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.
math.QA1998
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…