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International Conference and Workshop on Valuation Theory
July 26 - August 11, 1999
University of Saskatchewan
Saskatoon, SK, Canada

Organizers
Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall, Deirdre Haskell, Hans Schoutens

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Valuations on Quantum Algebras
by
Freddy Van Oystaeyen
University of Antwerp (UIA)

Whereas valuations on the centre of a finite dimensional skewfield do not extend to the skewfield this does hold for the fields of fractions of certain quantumgroups or quantized algebras e.g. Weyl fields, Sklyanin algebras etc... The characteristic property yielding this nice behaviuor is the ``good reduction'' of defining relations for the algebra. Some particularly interesting covers suggest a possible divisor calculus applicable in so-called noncommutative geometry.

Date received: April 22, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-27.