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Quantum deformations for the diagonal R-matrices

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

We consider two different types of deformations for the linear group GL(n) GL(n) which correspond to using of a general diagonal R-matrix. Relations between braided and quantum deformed algebras and their coactions on a quantum plane are discussed. We show that tensor-grading-preserving differential calculi can be constructed on braided groups , quantum groups and quantum planes for the case of the diagonal R-matrix.

Keywords

Cite

@article{arxiv.hep-th/9307149,
  title  = {Quantum deformations for the diagonal R-matrices},
  author = {B. M. Zupnik},
  journal= {arXiv preprint arXiv:hep-th/9307149},
  year   = {2008}
}

Comments

6 pages, Talk at Workshop on Supersymmetry and Quantum Groups, Dubna, 15-20 July 1993