On the square root of the centre of the Hecke algebra of type A

Details On the square root of the centre of the Hecke algebra of type A On the square root of the centre of the Hecke algebra of type A

2007-05-10

arxiv.org/abs/0705.1567v1

J. Aust. Math. Soc., 82 (2007), 209-220

Mathematics

Representation Theory

Scientific paper

In this paper we investigate non-central elements of the Iwahori-Hecke algebra of the symmetric group whose squares are central. In particular, we describe a commutative subalgebra generated by certain non-central square roots of central elements, and the generic existence of a rank-three submodule of the Hecke algebra contained in the square root of the centre but not in the centre. The generators for this commutative subalgebra include the longest word and elements related to trivial and sign characters of the Hecke algebra. We find elegant expressions for the squares of such generators in terms of both the minimal basis of the centre and the elementary symmetric functions of Murphy elements.

Affiliated with

Also associated with

No associations

Rating

On the square root of the centre of the Hecke algebra of type A 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 On the square root of the centre of the Hecke algebra of type A, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the square root of the centre of the Hecke algebra of type A will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410955