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

Mathematics – Quantum Algebra

Scientific paper

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8 pages

Scientific paper

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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