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A class of left quantum groups modeled after \(\text{SL}_q(n)\). - MaRDI portal

A class of left quantum groups modeled after \(\text{SL}_q(n)\). (Q860417)

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A class of left quantum groups modeled after \(\text{SL}_q(n)\).
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    A class of left quantum groups modeled after \(\text{SL}_q(n)\). (English)
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    9 January 2007
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    For each \(n\geq 2\) the authors construct a bialgebra generated by comatrix units \(X_{ij}\), which has a left antipode but no right antipode. These are called left quantum groups, and each of them has the quantum special linear group \(\text{SL}_q(n)\) as a homomorphic image.
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    left quantum groups
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    Hopf algebras
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    bialgebras
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    comatrix units
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    left antipodes
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    quantum special linear groups
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