Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Gail Letzter of the Math Dept
Title: q Special Functions and Quantum Symmetric Spaces
f(x) = exp(sx)
on the reals can be viewed as an eigenfunction with eigenvalue s with respect to the differential operator d/dx. A beautiful classical result asserts that the zonal spherical functions associated to compact symmetric spaces of rank n can be identified with a family of orthogonal polynomials where the underlying variables are the functions
fi(x1,...,xn) = exp(xi) for i=1,2,...,n.
We discuss q versions of this result using the theory of quantum groups and q special functions.
Return to