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Quasisymmetric (k,l)-hook Schur functions

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.
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https://hal.inria.fr/hal-01207595
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Sarah Mason, Elizabeth Niese. Quasisymmetric (k,l)-hook Schur functions. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.229-240. ⟨hal-01207595⟩

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