Proceedings of Institute of Mathematics of NAS of Ukraine 2000, Vol. 30, Part 2, 447-455.
Abstract:
Supersymmetry theory applications abound both in high energy physics and stochastic quantum physics. The latter are related to the Random Matrix Theory, the focus of this paper. Several aspects of mathematical interest, are presented, and in particular, the supersymmetric extensions of the Itzykson-Zuber and the Berezin-Karpelevich group integrals, supersymmetric harmonic analysis and the generalized Gelfand-Tzetlin constructions for the supergroup U(k1/k2). Their consequences for the representation theory of supergroups is also presented.
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