SMS scnews item created by James East at Wed 28 Jul 2010 1222
Type: Seminar
Distribution: World
Expiry: 30 Jul 2010
Calendar1: 30 Jul 2010 1205-1255
CalLoc1: Carslaw 175

Algebra Seminar

Quasi-oscillator presentation for the quantum group Uq(gl(N))

Pavel Pyatov

Friday July 30, 12:05--12:55pm, Carslaw 175


Introducing spectral values for the L-matrices (where L is a matrix of generators for the reflection equation algebra) we define the spectral extension of the QUE algebra U_q(gl(N)). The set of spectral values generates a maximal commutative subalgebra of the extended U_q(gl(N)). Supplementing each spectral value with a pair of "raising" and "lowering" operators we obtain a quasi-oscillator presentation for the extended QUE algebra. Finally, expressing the L-matrix in terms of the quasi-oscillators we open a possibility for applications of the quasi-oscillator set to investigations of quantum integrable chains.

This is joint work with Igor Kozhanov.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East

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