The trigonometric Casimir connection of a simple Lie algebra

Details The trigonometric Casimir connection of a simple Lie algebra The trigonometric Casimir connection of a simple Lie algebra

2010-03-10

arxiv.org/abs/1003.2017v2

Journal of Algebra 329 (2011), 286-327

Mathematics

Quantum Algebra

44 pages. Some typos corrected and minor changes made. Final version to appear in the Journal of Algebra

Scientific paper

10.1016/j.jalgebra.2010.05.025

Let g be a complex, semisimple Lie algebra, G the corresponding simply-connected Lie group and H a maximal torus in G. We construct a flat connection on H with logarithmic singularities on the root hypertori and values in the Yangian Y(g) of g. By analogy with the rational Casimir connection of g, we conjecture that the monodromy of this trigonometric connection is described by the quantum Weyl group operators of the quantum loop algebra U_h(Lg).

Affiliated with

Also associated with

No associations

Rating

The trigonometric Casimir connection of a simple Lie algebra 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 The trigonometric Casimir connection of a simple Lie algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The trigonometric Casimir connection of a simple Lie algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341176