| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10118336 | European Journal of Combinatorics | 2005 | 53 Pages |
Abstract
The partition algebra CAk(n) is the centralizer algebra of Sn acting on the k-fold tensor product Vâk of its n-dimensional permutation representation V. The partition algebra CAk+12(n) is the centralizer algebra of the restriction of Vâk to Snâ1âSn. We apply the theory of the basic construction (generalized matrix algebras) to the tower of partition algebras CA0(n)âCA12(n)CA1(n)âCA112(n)ââ¯. Our main results are:
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tom Halverson, Arun Ram,