Paragrassmann Integral, Discrete Systems and Quantum Groups

Physics – Condensed Matter

Scientific paper

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10 pages, LaTeX. In Proceedings of `II International Workshop on Classical and Quantum Integrable Systems' (Dubna, 8-12 July,

Scientific paper

10.1142/S0217751X97000281

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
$GL_{q}(2)$ are constructed.

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