Programming Algorithms

Download 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 wide diversity of purposes of ring thought has been more advantageous within the eighties by way of the expanding curiosity in algebraic constructions of substantial complexity, the so-called category 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 keeping 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 type of non-commutative jewelry (encompassing so much quantum groups), the so-called Poincaré-Birkhoff-Witt earrings. We contain algorithms which deal with crucial facets like beliefs and (bi)modules, the calculation of homological size and of the Gelfand-Kirillov measurement, the Hilbert-Samuel polynomial, primality checks for top beliefs, etc.

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