World Scientific Publishing Company
Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
$92.52
Springer
Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups
Product Code:
9789048163281
ISBN13:
9789048163281
Condition:
New
$61.47
Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups
$61.47
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.
| Author: J. L. Bueso |
| Publisher: Springer |
| Publication Date: 40520 |
| Number of Pages: 300 pages |
| Binding: Computers |
| ISBN-10: 9048163285 |
| ISBN-13: 9789048163281 |
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