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Quantum groups, filtered rings and Gelfand-Kirillov dimension

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Non-Commutative Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1448))

Abstract

It is shown here that, for a number of quantum groups, there exists a finite dimensional ‘filtration’ for which the associated graded algebra has a simple form. It follows from this that Gelfand-Kirillov dimension behaves particularly well for these algebras.

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Surender Kumar Jain Sergio R. López-Permouth

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© 1990 Springer-Verlag

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McConnell, J.C. (1990). Quantum groups, filtered rings and Gelfand-Kirillov dimension. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091258

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  • DOI: https://doi.org/10.1007/BFb0091258

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53164-7

  • Online ISBN: 978-3-540-46745-8

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