Algorithmic Methods in Non-Commutative Algebra: Applications - download pdf or read online

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

The already huge diversity of functions of ring concept has been more desirable within the eighties via the expanding curiosity in algebraic buildings of substantial complexity, the so-called type of quantum teams. one of many basic houses of quantum teams is they are modelled via associative coordinate earrings owning a canonical foundation, which permits for using algorithmic constructions in accordance with Groebner bases to review them. This booklet develops those equipment in a self-contained manner, targeting an in-depth examine of the concept of an enormous category of non-commutative jewelry (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt jewelry. We contain algorithms which deal with crucial elements like beliefs and (bi)modules, the calculation of homological size and of the Gelfand-Kirillov size, the Hilbert-Samuel polynomial, primality checks for high beliefs, etc.

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Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications) by J.L. Bueso,José Gómez-Torrecillas,A. Verschoren


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