Document Type

Conference Proceeding

Publication Date

Summer 2014


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.


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 The version of record is at 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.