Quasisymmetric (k,l)-hook Schur functions

Sarah Mason 1 Elizabeth Niese 2
1 Wake Forest University - Department of Mathematics
2 Department of Mathematics [Marshall]
Abstract : We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions and prove that these new quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way. In this paper we examine the combinatorics of the quasisymmetric hook Schur functions, providing analogues of the Robinson-Schensted-Knuth algorithm and a generalized Cauchy Identity.
Keywords : quasisymmetric functions Schur functions tableaux RSK
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Communication dans un congrès
Louis J. Billera and Isabella Novik. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), pp.229-240, 2014, DMTCS Proceedings
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Sarah Mason, Elizabeth Niese. Quasisymmetric (k,l)-hook Schur functions. Louis J. Billera and Isabella Novik. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), pp.229-240, 2014, DMTCS Proceedings. 〈hal-01207595〉

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