97 citations · 97 across the 6 of their papers we have counts for
6 papers
Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra
Stefano Capparelli, Arne Meurman, Mirko Primc
One of the starting points of this work was the duality of Borcea relating standard level representations of and level of . For , the combina…
Lepowsky's and Wakimoto's product formulas for the affine Lie algebras
Marijana Butorac, Slaven Kožić, Arne Meurman +1
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine…
New Partition Identities From -Modules
S. Capparelli, A. Meurman, A. Primc +1
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type , $…
Polynomials a la Lehmers and Wilf
Gert Almkvist, Arne Meurman
We show that a period polynomial introduced by the Lehmers coincides with a generalized Wilf polynomial.
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…