Open AccessRepresentations of Uεres(sl2) via restricted q-Fock spaces
Author(s) -
XuFeng Liu,
Chang-Pu Sun
Publication year - 2001
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.1389089
Subject(s) - fock space , mathematics , sl2(r) , pure mathematics , type (biology) , fock state , boson , algebra over a field , combinatorics , physics , quantum mechanics , ecology , biology
Two restricted $C[q,q^{-1}]-$forms of the well known q-boson algebra areintroduced and the corresponding restricted q-Fock spaces defined. All of theirreducible highest weight representations, including the infinite dimensionalones, of $U_\epsilon ^{res}(sl_2)$ of type 1 are constructed through therestricted q-Fock spaces.Comment: 15 page
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