Launois, S. and Lenagan, T.H. and Rigal, L. (2006) Quantum unique factorisation domains. Journal of the London Mathematical Society, 74 (2). pp. 321-340. ISSN 0024-6107.
|PDF (Quantum Unique Factorisation)|
We prove a general theorem showing that iterated skew polynomial extensions of the type that fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl-Letzter stratification theory are unique factorisation rings in the sense of Chatters and Jordan. This general result applies to many quantum algebras; in particular, generic quantum matrices and quantized enveloping algebras of the nilpotent part of a semisimple Lie algebra are unique factorisation domains in the sense of Chatters. The result also extends to generic quantum grassmannians (by using noncommutative dehomogenisation) and to the quantum groups O-q (GL(n)) and O-q (SLn).
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Stephane Launois|
|Date Deposited:||06 Sep 2008 16:44|
|Last Modified:||05 Sep 2011 23:58|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/7411 (The current URI for this page, for reference purposes)|
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