Programming Algorithms

New PDF release: Algorithmic Methods in Non-Commutative Algebra: Applications

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

The already large diversity of purposes of ring concept has been more advantageous 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 homes of quantum teams is they are modelled by means of associative coordinate earrings owning a canonical foundation, which permits for using algorithmic constructions in line with Groebner bases to review them. This e-book develops those equipment in a self-contained approach, focusing on an in-depth research of the concept of an enormous classification of non-commutative earrings (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt earrings. We comprise algorithms which deal with crucial elements like beliefs and (bi)modules, the calculation of homological measurement and of the Gelfand-Kirillov measurement, the Hilbert-Samuel polynomial, primality assessments for top 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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