Download e-book for iPad: Algorithmic Methods in Non-Commutative Algebra: Applications by J.L. Bueso,José Gómez-Torrecillas,A. Verschoren

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

The already large diversity of functions of ring idea has been greater within the eighties by way of the expanding curiosity in algebraic buildings of substantial complexity, the so-called classification of quantum teams. one of many basic houses of quantum teams is they are modelled by means of associative coordinate earrings owning a canonical foundation, which permits for using algorithmic buildings according to Groebner bases to review them. This booklet develops those tools in a self-contained means, targeting an in-depth research of the thought of an unlimited classification of non-commutative jewelry (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt jewelry. We contain algorithms which deal with crucial features like beliefs and (bi)modules, the calculation of homological measurement and of the Gelfand-Kirillov measurement, the Hilbert-Samuel polynomial, primality exams 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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