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The centre of quantum sl_n at a root of unity

The centre of quantum sl_n at a root of unity
The centre of quantum sl_n at a root of unity
It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C, U_{?,P}(sl_n), ? a primitive l-th root of unity, l an odd integer >1, has a rational field of fractions. Furthermore it is proved that if l is a power of an odd prime, Z is a unique factorisation domain.
0021-8693
425-445
Tange, R.H.
f875b810-3e2a-42ba-acd8-236b5dca9929
Tange, R.H.
f875b810-3e2a-42ba-acd8-236b5dca9929

Tange, R.H. (2006) The centre of quantum sl_n at a root of unity. Journal of Algebra, 301 (1), 425-445. (doi:10.1016/j.jalgebra.2005.11.036).

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Abstract

It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C, U_{?,P}(sl_n), ? a primitive l-th root of unity, l an odd integer >1, has a rational field of fractions. Furthermore it is proved that if l is a power of an odd prime, Z is a unique factorisation domain.

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Published date: 2006

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Local EPrints ID: 43535
URI: http://eprints.soton.ac.uk/id/eprint/43535
ISSN: 0021-8693
PURE UUID: df043220-b39c-49c0-af0e-33d664a44dca

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Date deposited: 23 Jan 2007
Last modified: 15 Mar 2024 08:55

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Author: R.H. Tange

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