Paragrassmann Integral, Discrete Systems and Quantum Groups

Abstract

Some aspects of differential and integral calculi on generalized grassmann (paragrassmann) algebras are considered. The integration over paragrassmann variables is applied to evaluate the partition function for the $Z_{p+1}$ Potts model on a chain. Finite dimensional paragrassmann representations for $G{L}_q(2)$ are constructed.

10 pages, LaTeX. In Proceedings of `II International Workshop on Classical and Quantum Integrable Systems' (Dubna, 8-12 July, 1996), to be published in Int.J.Mod.Phys

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