Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
The modular double of a quantum group and hyperbolic hypergeometric integralsAlgebra & Discrete Mathematics
|Speaker: ||Fokko van de Bult, University of Amsterdam|
|Location: ||1147 MSB|
|Start time: ||Thu, May 18 2006, 12:10PM|
A quantum group is a deformation of the universal enveloping algebra of a
Lie algebra. Basic hypergeometric functions naturally arise in the representation
theory of these algebras. Hyperbolic hypergeometric functions are hypergeometric functions
of a slightly different flavor than basic hypergeometric functions, due to the introduction
of an extra parameter intimately related to q. The modular double of a quantum group is
an extension of a quantum group incorporating a similar extra parameter.
We will discuss how subsequently in the representation theory of the modular double of a quantum
group hyperbolic hypergeometric functions naturally arise.