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Representation theory and integrable spin chains

Hosted by:
The London Triangle
Speaker:
Petr Kulish, St.Petersburg Department of Steklov Institute of Mathematics
Starts:
November 28, 2007 at 03:00 pm
Ends:
November 28, 2007 at 04:00 pm
Location:
City University, Centre for Mathematical Science, Room C345, Northampton Square, London, EC1V 0HB United Kingdom
Maps:

Description

Solution of the Heisenberg spin chain s=1/2 (spectrum of the energy operator and its eigenvectors) is related with three algebras: the Lie algebra sl(2), group algebra of symmetric group S_N and an infinite dimentional Hopf algebra, Yangian Y(sl(2)). Using representaions of these algebras there are generalization of this model to higher spins s=1, 3/2, 2, ...However there is also possibility to geberalize these algebras preserving structure of their representations. In particular the group algebra of S_N will be substituted by the Temperle—Lieb algebra.

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Representation theory and integrable spin chains
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