Isbn: 9789048163281 - algorithmic methods in non-commutative algebra: applications to quantum groups (mathematical modelling: theory and applications, band 17) (4 Ergebnisse)

Zustand: New. In English.

Paperback. Zustand: Brand New. 298 pages. 9.21x6.14x0.66 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…

Taschenbuch. Zustand: Neu. Algorithmic Methods in Non-Commutative Algebra | Applications to Quantum Groups | J. L. Bueso (u. a.) | Taschenbuch | Mathematical Modelling: Theory and Applications | xi | Englisch | 2010 | Springer | EAN 9789048163281 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…