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Algorithmic Methods in Non-Commutative Algebra - Applications to Quantum Groups (Paperback, Softcover reprint of hardcover 1st ed. 2003)
Loot Price: R1,564
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Algorithmic Methods in Non-Commutative Algebra - Applications to Quantum Groups (Paperback, Softcover reprint of hardcover 1st ed. 2003)
Series: Mathematical Modelling: Theory and Applications, 17
Expected to ship within 10 - 15 working days
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The already broad range of applications of ring theory has been
enhanced in the eighties by the increasing interest in algebraic
structures of considerable complexity, the so-called class of
quantum groups. One of the fundamental properties of quantum groups
is that they are modelled by associative coordinate rings
possessing a canonical basis, which allows for the use of
algorithmic structures based on Groebner bases to study them. This
book develops these methods in a self-contained way, concentrating
on an in-depth study of the notion of a vast class of
non-commutative rings (encompassing most quantum groups), the
so-called Poincar -Birkhoff-Witt rings. We include algorithms which
treat essential aspects like ideals and (bi)modules, the
calculation of homological dimension and of the Gelfand-Kirillov
dimension, the Hilbert-Samuel polynomial, primality tests for prime
ideals, etc.
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