Analogs of q-Serre relations in the Yang-Baxter algebras

Details Analogs of q-Serre relations in the Yang-Baxter algebras Analogs of q-Serre relations in the Yang-Baxter algebras

1998-08-17

arxiv.org/abs/math/9808075v1

Mathematics

Quantum Algebra

6 pages, LaTeX, no figures, presented at the 7th Colloquium ``Quantum Groups and Integrable Systems", Prague, June 1998

Scientific paper

Yang-Baxter bialgebras, as previously introduced by the authors, are shown to arise from a double crossproduct construction applied to the bialgebra R T T = T T R, E T = T E R, \Delta(T) = T \hat{\otimes} T, \Delta(E) = E \hat{\otimes} T + 1 \hat{\otimes} E and its skew dual, with R being a numerical matrix solution of the Yang-Baxter equation. It is further shown that a set of relations generalizing q-Serre ones in the Drinfeld-Jimbo algebras U_q(g) can be naturally imposed on Yang-Baxter algebras from the requirement of non-degeneracy of the pairing.

Affiliated with

Also associated with

No associations

Rating

Analogs of q-Serre relations in the Yang-Baxter algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analogs of q-Serre relations in the Yang-Baxter algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analogs of q-Serre relations in the Yang-Baxter algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570177