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

Buch 5 von 12: Mathematical Modelling: Theory and Applications

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

 
9781402014024: Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups: 17 (Mathematical Modelling: Theory and Applications)
Hardcover
ISBN 10: 1402014023 ISBN 13: 9781402014024
Verlag: Springer, 2003

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2003
Sprache
Englisch
ISBN 10 
1402014023
ISBN 13 
9781402014024
Einband
Tapa dura
Anzahl der Seiten
316
Kontakt zum Hersteller
Nicht verfügbar
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