Algorithmic Methods in Non-Commutative Algebra

Name: Algorithmic Methods in Non-Commutative Algebra
Brand: Springer Netherlands
SKU: 9781402014024
Price: 298.01 RON
Availability: InStock

Applications to Quantum Groups

Autor: J.L. Bueso, José Gómez-Torrecillas, A. Verschoren

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Legare: Copertă tare

Editura: Springer Netherlands

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298.01 lei

The already broad range of applications of ring theory has been enhanced in the eighties by the incr...

Informații despre carte

Autor

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

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

300

EAN

9781402014024

ISBN

1402014023

Enbook ID

01415298

Editura

Springer Netherlands

Greutate

626

Dimensiuni

160 x 242 x 19

Descriere completă

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 Poincare-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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Algorithmic Methods in Non-Commutative Algebra

Applications to Quantum Groups

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