Bosonization of Admissible Representations of U_q(\widehatsl₂) at Level -(1)/(2) and q-Vertex Operators

1996/05/20 by Yoshitaka Koyama, Koyama, Yoshitaka
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9605029

23 pages, LaTex

arxiv created 1996/05/20 · arxiv updated 2009/11/30

Abstract

We construct a representation of U_q(\widehatsl₂) at level -1/2 by using the bosonic Fock spaces. The irreducible modules are obtained as the kernel of a certain operator, in contrast to the construction by Feingold and Frenkel for q=1 where such a procedure is not necessary. We also bosonize the q-vertex operators associated with the vector representation.

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