Yangian Double and Rational R-matrix

Details Yangian Double and Rational R-matrix Yangian Double and Rational R-matrix

1994-06-29

arxiv.org/abs/hep-th/9406194v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

Studying the algebraic structure of the double ${\cal D}Y(g)$ of the yangian $Y(g)$ we present the triangular decomposition of ${\cal D}Y(g)$ and a factorization for the canonical pairing of the yangian with its dual inside ${\cal D}Y(g)$. As a consequence we obtain an explicit formula for the universal R-matrix $R$ of ${\cal D}Y(g)$ and demonstrate how it works in evaluation representations of $Y(sl_2)$. We interprete one-dimensional factor arising in concrete representations of $R$ as bilinear form on highest weight polynomials of irreducible representations of $Y(g)$ and express this form in terms of {\it gamma-functions}.

Affiliated with

Also associated with

No associations

Rating

Yangian Double and Rational R-matrix 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 Yangian Double and Rational R-matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yangian Double and Rational R-matrix will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716448