Braid group actions on coideal subalgebras of quantized enveloping algebras

Details Braid group actions on coideal subalgebras of quantized enveloping algebras Braid group actions on coideal subalgebras of quantized enveloping algebras

2011-02-21

arxiv.org/abs/1102.4185v1

Mathematics

Quantum Algebra

22 pages

Scientific paper

We construct braid group actions on coideal subalgebras of quantized enveloping algebras which appear in the theory of quantum symmetric pairs. In particular, we construct an action of the semidirect product of Z^n and the classical braid group in n strands on the coideal subalgebra corresponding to the symmetric pair (sl_{2n}(C), sp_{2n}(C)). This proves a conjecture by Molev and Ragoucy. We expect similar actions to exist for all symmetric Lie algebras. The given actions are inspired by Lusztig's braid group action on quantized enveloping algebras and are defined explicitly on generators. Braid group and algebra relations are verified with the help of the package Quagroup within the computer algebra program GAP.

Affiliated with

Also associated with

No associations

Rating

Braid group actions on coideal subalgebras of quantized enveloping 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 Braid group actions on coideal subalgebras of quantized enveloping algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braid group actions on coideal subalgebras of quantized enveloping algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-520403