Algorithmic Methods in Non-Commutative Algebra: Applications by J.L. Bueso,José Gómez-Torrecillas,A. Verschoren PDF

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

ISBN-10: 1402014023

ISBN-13: 9781402014024

ISBN-10: 9048163285

ISBN-13: 9789048163281

The already large variety of functions of ring thought has been more desirable within the eighties by means of the expanding curiosity in algebraic constructions of substantial complexity, the so-called type of quantum teams. one of many basic houses of quantum teams is they are modelled by way of associative coordinate jewelry owning a canonical foundation, which permits for using algorithmic buildings in line with Groebner bases to check them. This publication develops those equipment in a self-contained means, targeting an in-depth examine of the concept of an enormous classification of non-commutative jewelry (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt jewelry. We comprise 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 assessments 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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