Bosonization of Coordinate Ring of U_q(SL(N)). The Cases of N=2 and N=3

1993/11/23 by A. Morozov
Physics and Astronomy · #hep-th

paper · pdf

published as JETP Lett. 60 (1994) 225-234 · ITEP-M-7/93 (11 pages)

arxiv created 1993/11/23 · arxiv updated 2009/11/30

Abstract

Non-abelian coordinate ring of U_q(SL(N)) (quantum deformation of the algebra of functions) for N=2,3 is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fashion. Generalizations to N>3 and Kac-Moody algebras are not discussed but look straightforward.

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