Quantized Affine Lie Algebras and Diagonalization of Braid Generators

Details Quantized Affine Lie Algebras and Diagonalization of Braid Generators Quantized Affine Lie Algebras and Diagonalization of Braid Generators

1993-04-28

arxiv.org/abs/hep-th/9304143v3

Lett.Math.Phys. 30 (1994) 267

Physics

High Energy Physics

High Energy Physics - Theory

11 pages (minor error corrected)

Scientific paper

10.1007/BF00751063

Let $U_q(\hat{\cal G})$ be a quantized affine Lie algebra. It is proven that the universal R-matrix $R$ of $U_q(\hat{\cal G})$ satisfies the celebrated conjugation relation $R^\dagger=TR$ with $T$ the usual twist map. As applications, braid generators are shown to be diagonalizable on arbitrary tensor product modules of integrable irreducible highest weight $U_q(\hat{\cal G})$-module and a spectral decomposition formula for the braid generators is obtained which is the generalization of Reshetikhin's and Gould's forms to the present affine case. Casimir invariants are constructed and their eigenvalues computed by means of the spectral decomposition formula. As a by-product, an interesting identity is found.

Affiliated with

Also associated with

No associations

Rating

Quantized Affine Lie Algebras and Diagonalization of Braid Generators 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 Quantized Affine Lie Algebras and Diagonalization of Braid Generators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantized Affine Lie Algebras and Diagonalization of Braid Generators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612298