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Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups - Mathematical Modelling: Theory and Applications 17 (Hardback)
  • Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups - Mathematical Modelling: Theory and Applications 17 (Hardback)
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Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups - Mathematical Modelling: Theory and Applications 17 (Hardback)

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£89.99
Hardback 300 Pages / Published: 31/07/2003
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The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincare-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781402014024
Number of pages: 300
Weight: 1370 g
Dimensions: 234 x 156 x 19 mm
Edition: 2003 ed.

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