Computes the scalar factor in mixed products of modified Greaves-Jing-Zhu operators on the odd power-sum ring for parameters t and s, with explicit forms, recurrences, and a special case s=t^M linking to signed principal specializations of one-row Schur Q-functions.
Rozhkovskaya, Linear transformations of vertex operator presentations of Hall– Littlewood polynomials, arXiv:2202.01544, 2022
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Derives transition matrices and proves Schur Q-positivity plus reciprocity for cyclotomic specializations of shifted t-Schur functions.
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Mixed Products of Modified Greaves--Jing--Zhu Operators
Computes the scalar factor in mixed products of modified Greaves-Jing-Zhu operators on the odd power-sum ring for parameters t and s, with explicit forms, recurrences, and a special case s=t^M linking to signed principal specializations of one-row Schur Q-functions.
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Transition Matrices between Shifted $t$-Schur Bases and Cyclotomic Schur $Q$-Positivity
Derives transition matrices and proves Schur Q-positivity plus reciprocity for cyclotomic specializations of shifted t-Schur functions.