The Weyl-Brandt groupoid of a Nichols algebra of diagonal type

Details The Weyl-Brandt groupoid of a Nichols algebra of diagonal type The Weyl-Brandt groupoid of a Nichols algebra of diagonal type

2004-11-22

arxiv.org/abs/math/0411477v1

Mathematics

Quantum Algebra

LaTeX2e, 18 pages

Scientific paper

10.1007/s00222-005-0474-8

The theory of Nichols algebras of diagonal type is known to be closely related to that of semisimple Lie algebras. In this paper the connection between both theories is made closer. For any Nichols algebra of diagonal type invertible transformations are introduced, which remind one of the action of the Weyl group on the root system associated to a semisimple Lie algebra. They give rise to the definition of a Brandt groupoid. As an application an alternative proof of classification results of Rosso, Andruskiewitsch, and Schneider is obtained without using any technical assumptions on the braiding. Key Words: Brandt groupoid, Hopf algebra, pseudo-reflections, Weyl group

Affiliated with

Also associated with

No associations

Rating

The Weyl-Brandt groupoid of a Nichols algebra of diagonal type 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 Weyl-Brandt groupoid of a Nichols algebra of diagonal type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Weyl-Brandt groupoid of a Nichols algebra of diagonal type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168245