Earl J. Taft

  1. A class of left quantum groups modeled after SL_q(n).

    Authors: Aaron Lauve, Earl J. Taft
    Subjects: Quantum Algebra
    Abstract

    For each n >1, we construct a left quantum group, i.e., a left Hopf algebra H
    generated by comatrix units X_{ij} and modeled after SL_q(n), which has a left
    antipode but no right antipode. The quantum special linear group SL_q(n) is a
    homomorphic image of our H.

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