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Algorithmic Methods in Non-Commutative Algebra
Applications to Quantum Groups
J L Bueso, José Gómez-Torrecillas, A Verschoren
83,95 €
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Description
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.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 300
- Langue:
- Anglais
- Collection :
- Tome:
- n° 17
Caractéristiques
- EAN:
- 9781402014024
- Date de parution :
- 31-07-03
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 163 mm x 239 mm
- Poids :
- 612 g
