English

Representations of $U_{\epsilon}^{res}(sl_2)$ via Restricted q-Fock Spaces

Quantum Algebra 2009-10-31 v1

Abstract

Two restricted C[q,q1]C[q,q^{-1}]-forms of the well known q-boson algebra are introduced and the corresponding restricted q-Fock spaces defined. All of the irreducible highest weight representations, including the infinite dimensional ones, of Uϵres(sl2)U_\epsilon ^{res}(sl_2) of type 1 are constructed through the restricted q-Fock spaces.

Keywords

Cite

@article{arxiv.math/0008046,
  title  = {Representations of $U_{\epsilon}^{res}(sl_2)$ via Restricted q-Fock Spaces},
  author = {Xufeng Liu and Changpu Sun},
  journal= {arXiv preprint arXiv:math/0008046},
  year   = {2009}
}

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15 pages