English

Quasi-particle fermionic formulas for $(k,3)$-admissible configurations

Quantum Algebra 2011-07-21 v1

Abstract

We construct new monomial quasi-particle bases of Feigin-Stoyanovsky's type subspaces for affine Lie algebra sl(3,C)~\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}} from which the known fermionic-type formulas for (k,3)(k,3)-admissible configurations follow naturally. In the proof we use vertex operator algebra relations for standard modules and coefficients of intertwining operators.

Keywords

Cite

@article{arxiv.1107.3900,
  title  = {Quasi-particle fermionic formulas for $(k,3)$-admissible configurations},
  author = {Miroslav Jerkovic and Mirko Primc},
  journal= {arXiv preprint arXiv:1107.3900},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T18:39:14.845Z