English

A new algebra which transmutes to the braided algebra

Quantum Algebra 2007-05-23 v1

Abstract

We find a new braided Hopf structure for the algebra satisfied by the entries of the braided matrix BSLq(2)BSL_q(2). A new nonbraided algebra whose coalgebra structure is the same as the braided one is found to be a two parameter deformed algebra. It is found that this algebra is not a comodule algebra under adjoint coaction. However, it is shown that for a certain value of one of the deformation parameters the braided algebra becomes a comodule algebra under the coaction of this nonbraided algebra. The transmutation of the nonbraided algebra to the braided one is constructed explicitly.

Keywords

Cite

@article{arxiv.math/9904101,
  title  = {A new algebra which transmutes to the braided algebra},
  author = {A. Yildiz},
  journal= {arXiv preprint arXiv:math/9904101},
  year   = {2007}
}

Comments

13 pages, latex

R2 v1 2026-07-22T18:02:43.086Z