• DOI:10.1142/S0219199717500730
Corpus ID: 119257681

Quasi-particles in the principal picture of $\widehat{\mathfrak{sl}}_{2}$ and Rogers-Ramanujan-type identities

@article{Koi2014QuasiparticlesIT,
  title={Quasi-particles in the principal picture of \$\widehat\{\mathfrak\{sl\}\}_\{2\}\$ and Rogers-Ramanujan-type identities},
  author={S. Ko{\vz}i{\'c} and Mirko Primc},
  journal={arXiv: Quantum Algebra},
  year={2014}
}

• S. Kožić, Mirko Primc
• Published 2014
• Mathematics
• arXiv: Quantum Algebra

In their seminal work J. Lepowsky and R. L. Wilson gave a vertex-operator theoretic interpretation of Gordon-Andrews-Bressoud's generalization of Rogers-Ramanujan combinatorial identities, by constructing bases of vacuum spaces for the principal Heisenberg subalgebra of standard $\widehat{\mathfrak{sl}}_{2}$-modules, parametrized with partitions satisfying certain difference 2 conditions. In this paper we define quasi-particles in the principal picture of $\widehat{\mathfrak{sl}}_{2}$ and… Expand

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