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Representations of quantum orders
A. N. Panov Samara State University
Abstract:
We study finite-dimensional algebras that appear as fibers of quantum orders over a given point of variety of center. We present a formula for the number of irreducible representations and check it for the algebra of twisted polynomials, the quantum Weyl algebra, and the algebra of regular functions on a quantum group.
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Journal of Mathematical Sciences (New York), 2007, 142:2, 1969–1976
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512.6
Citation:
A. N. Panov, “Representations of quantum orders”, Fundam. Prikl. Mat., 11:2 (2005), 157–167; J. Math. Sci., 142:2 (2007), 1969–1976
Citation in format AMSBIB
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\by A.~N.~Panov
\paper Representations of quantum orders
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 157--167
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2157936}
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\transl
\jour J. Math. Sci.
\yr 2007
\vol 142
\issue 2
\pages 1969--1976
\crossref{https://doi.org/10.1007/s10958-007-0104-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947424413}
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