Seminar on low-dimensional mathematics "Moscow-Petersburg"
March 21, 2003

Vitaly Tarasov (PDMI)

Selberg type integrals associated with the Lie algebra sl_3.

The Selberg integral is a multidimensional generalization of the Euler beta
integral. The Selberg integral plays an important role in the theory of special
functions, representation theory, and many other areas. Many generalizations
of the Selberg integral are already known, but from a certain point of view,
all of them are associated with the Lie algebra $sl_2$. In the talk I am going
to present a generalization of the Selberg integral which, in this sense,
is associated with the Lie algebra $sl_3$. This suggests a new direction
for the Selberg integral generalizations. 

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Seminar home-page http://www.pdmi.ras.ru/~lowdimma