English

Paragrassmann Integral, Discrete Systems and Quantum Groups

q-alg 2009-10-30 v1 Condensed Matter High Energy Physics - Theory Quantum Algebra

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 Zp+1Z_{p+1} Potts model on a chain. Finite dimensional paragrassmann representations for GLq(2)GL_{q}(2) are constructed.

Keywords

Cite

@article{arxiv.q-alg/9609030,
  title  = {Paragrassmann Integral, Discrete Systems and Quantum Groups},
  author = {A. P. Isaev},
  journal= {arXiv preprint arXiv:q-alg/9609030},
  year   = {2009}
}

Comments

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