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

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)
Tapa dura
ISBN 10: 1402014023 ISBN 13: 9781402014024
Editorial: Springer, 2003

Sinopsis

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.

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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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2003
Idioma
Inglés
ISBN 10 
1402014023
ISBN 13 
9781402014024
Encuadernación
Tapa dura
Número de páginas
316
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9789048163281: Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups: 17 (Mathematical Modelling: Theory and Applications)

Edición Destacada

ISBN 10:  9048163285 ISBN 13:  9789048163281
Editorial: Springer, 2010
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