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- W3100115141 abstract "The zero modes of the chiral SU(n) WZNW model give rise to an intertwining quantum matrix algebra A generated by an n x n matrix a=(a^i_alpha) (with noncommuting entries) and by rational functions of n commuting elements q^{p_i}. We study a generalization of the Fock space (F) representation of A for generic q (q not a root of unity) and demonstrate that it gives rise to a model of the quantum universal enveloping algebra U_q(sl_n), each irreducible representation entering F with multiplicity 1. For an integer level k the complex parameter q is an even root of unity, q^h=-1 (h=k+n) and the algebra A has an ideal I_h such that the factor algebra A_h = A/I_h is finite dimensional." @default.
- W3100115141 created "2020-11-23" @default.
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- W3100115141 date "2003-05-08" @default.
- W3100115141 modified "2023-09-24" @default.
- W3100115141 title "Quantum matrix algebra for theSU(n) WZNW model" @default.
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- W3100115141 doi "https://doi.org/10.1088/0305-4470/36/20/310" @default.
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