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.
J.L. Bueso & Jose Gomez-Torrecillas
Algorithmic Methods in Non-Commutative Algebra [PDF ebook]
Applications to Quantum Groups
Algorithmic Methods in Non-Commutative Algebra [PDF ebook]
Applications to Quantum Groups
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语言 英语 ● 格式 PDF ● ISBN 9789401702850 ● 出版者 Springer Netherlands ● 发布时间 2013 ● 下载 3 时 ● 货币 EUR ● ID 4707345 ● 复制保护 Adobe DRM
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