Combinatorial Gelfand models for some semigroups and q-rook monoid algebras

Details Combinatorial Gelfand models for some semigroups and q-rook monoid algebras Combinatorial Gelfand models for some semigroups and q-rook monoid algebras

2007-10-10

arxiv.org/abs/0710.1972v2

Proc. Edinb. Math. Soc. (2) 52 (2009), no. 3, 707--718.

Mathematics

Representation Theory

14 pages

Scientific paper

Inspired by the results of [R. Adin, A. Postnikov, Y. Roichman, Combinatorial Gelfand model, preprint math.RT arXiv:0709.3962], we propose combinatorial Gelfand models for semigroup algebras of some finite semigroups, which include the symmetric inverse semigroup, the dual symmetric inverse semigroup, the maximal factorizable subsemigroup in the dual symmetric inverse semigroup, and the factor power of the symmetric group. Furthermore we extend the Gelfand model for the semigroup algebras of the symmetric inverse semigroup to a Gelfand model for the $q$-rook monoid algebra.

Affiliated with

Also associated with

No associations

Rating

Combinatorial Gelfand models for some semigroups and q-rook monoid 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 Combinatorial Gelfand models for some semigroups and q-rook monoid algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial Gelfand models for some semigroups and q-rook monoid algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462707