| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583893 | Journal of Algebra | 2016 | 18 Pages |
Abstract
We prove a Littlewood–Richardson type formula for (sλ/μ,sν/κ)tk,t(sλ/μ,sν/κ)tk,t, the pairing of two skew Schur functions in the Macdonald inner product at q=tkq=tk for positive integers k . This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra C[x]/xkC[x]/xk and symmetric groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Erik Carlsson, Anthony M. Licata,