Document Type
Conference Proceeding
Publication Date
Summer 2014
Abstract
We introduce a quasisymmetric generalization of Berele and Regev's (k,l)-hook Schur functions. These quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way. The quasisymmetric hook Schur functions can be defined as the generating function for a certain set of composition tableaux on two alphabets. We will look at the combinatorics of the quasisymmetric hook Schur functions, including an analogue of the RSK algorithm and a generalized Cauchy Identity.
Recommended Citation
Mason, S. K., & Niese, E. (2014). Quasisymmetric (k, l)-hook Schur functions.DMTCS Proceedings, (01), 229-240.
Comments
This is the published proceedings of a paper presented at the 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) in Chicago, Illinois. Information about FPSAC 2014 is available at https://sites.google.com/site/fpsac2014/. The version of record is at http://www.dmtcs.org/dmtcs- ojs/index.php/proceedings/article/download/dmAT0121/4470 Copyright c 2014 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France. Printed with permission. All rights reserved.