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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups

Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups

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

Hardcover

Series: Mathematical Modelling: Theory and Applications, Book 17

General ComputersGeometryProgramming

ISBN10: 1402014023
ISBN13: 9781402014024
Publisher: Springer Nature
Published: Jul 31 2003
Pages: 300
Weight: 1.35
Height: 0.80 Width: 6.40 Depth: 9.40
Language: English
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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