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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 2, Pages 157–167 (Mi fpm818)  
Representations of quantum orders

A. N. Panov

Samara State University
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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.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 2, Pages 1969–1976
DOI: https://doi.org/10.1007/s10958-007-0104-7
Bibliographic databases:
UDC: 512.6
Language: Russian
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
\Bibitem{Pan05}
\by A.~N.~Panov
\paper Representations of quantum orders
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 157--167
\mathnet{http://mi.mathnet.ru/fpm818}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157936}
\zmath{https://zbmath.org/?q=an:1073.16038}
\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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    		Фундаментальная и прикладная математика
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