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

The already large variety of functions of ring idea has been more desirable within the eighties via the expanding curiosity in algebraic buildings of substantial complexity, the so-called classification of quantum teams. one of many primary homes of quantum teams is they are modelled via associative coordinate jewelry owning a canonical foundation, which permits for using algorithmic constructions in keeping with Groebner bases to review them. This ebook develops those tools in a self-contained method, focusing on an in-depth learn of the proposal of an unlimited type of non-commutative jewelry (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt earrings. 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 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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