Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655195 | Journal of Combinatorial Theory, Series A | 2015 | 23 Pages |
Abstract
We construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with several nice properties such as the positive right-Pieri rule, combinatorial expansion, etc. Dually, we get a basis of the Stembridge algebra of peak functions refining Schur's P-functions in a simple way.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Naihuan Jing, Yunnan Li,