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

Book 5 of 12: Mathematical Modelling: Theory and Applications

Bueso, J.L.; Gómez-Torrecillas, José; Verschoren, A.

 
9789048163281: Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups: 17 (Mathematical Modelling: Theory and Applications, 17)
Softcover
ISBN 10: 9048163285 ISBN 13: 9789048163281
Publisher: Springer, 2010

Synopsis

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 Poincaré-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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
2010
Language
English
ISBN 10 
9048163285
ISBN 13 
9789048163281
Binding
Paperback
Number of pages
311

Other Popular Editions of the Same Title

9781402014024: Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups: 17 (Mathematical Modelling: Theory and Applications, 17)

Featured Edition

ISBN 10:  1402014023 ISBN 13:  9781402014024
Publisher: Springer, 2003
Hardcover