The Rook Partition Algebra
Document Type
Article
Publication Date
2-1-2006
Published In
Journal Of Combinatorial Theory Series A
Abstract
The rook partition algebra RPk(x) is a generically semisimple algebra that arises from looking at what commutes with the action of the symmetric group Sn on U⊗k, where U is the direct sum of the natural representation and the trivial representation of Sn. We give a combinatorial description of this algebra, construct its irreducible representations, and exhibit a Murnaghan–Nakayama formula to compute certain character values.
Recommended Citation
Cheryl Grood.
(2006).
"The Rook Partition Algebra".
Journal Of Combinatorial Theory Series A.
Volume 113,
Issue 2.
325-351.
DOI: 10.1016/j.jcta.2005.03.006
https://works.swarthmore.edu/fac-math-stat/15