Algorithmic Methods in Non-Commutative Algebra - Applications to Quantum Groups (Paperback, Softcover reprint of hardcover 1st ed. 2003)

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 Poincar -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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematical Modelling: Theory and Applications, 17
Release date:	December 2010
First published:	2003
Authors:	J.L. Bueso • Jose Gomez-Torrecillas • A. Verschoren
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	300
Edition:	Softcover reprint of hardcover 1st ed. 2003
ISBN-13:	978-90-481-6328-1
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Promotions
LSN:	90-481-6328-5
Barcode:	9789048163281

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