The Ramifications of the Centres: Quantised Function Algebras at Roots of Unity |
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Authors: | Brown Kenneth A; Gordon Iain |
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Institution: | Department of Mathematics, University of Glasgow Glasgow G12 8QW kab{at}maths.gla.ac.uk
Department of Mathematics, University of Glasgow Glasgow G12 8QW ig{at}maths.gla.ac.uk |
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Abstract: | This paper continues the study of quantised function algebrasO G] of a semisimple group G at an lth root of unity . Thesealgebras were introduced by De Concini and Lyubashenko in 1994,and studied further by De Concini and Procesi and by Gordon,amongst others. Our main purpose here is to increase understandingof the finite-dimensional factor algebras O G](g), for g G.We determine the representation type and block structure ofthese factors, and (for many g) describe them up to isomorphism.A series of parallel results is obtained for the quantised Borelalgebras and . 2000 Mathematical Subject Classification: 16W35,17B37. |
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Keywords: | quantum groups representation type blocks polynomial identity |
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