Published on:

24 October 2023

Primary Category:

Representation Theory

Paper Authors:

Volodymyr Mazorchuk,

Shraddha Srivastava

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The paper investigates Kronecker coefficients for symmetric inverse semigroups.

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These coefficients are related to classical Kronecker and Littlewood-Richardson coefficients.

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An explicit formula is given in terms of known symmetric group coefficients.

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Cell modules for symmetric inverse semigroups have a cell filtration.

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Multiplicities for this filtration are determined.

Kronecker coefficients for symmetric inverse semigroups

This paper studies analogues of Kronecker coefficients for symmetric inverse semigroups. The authors reduce the problem of determining such coefficients to some group-theoretic and combinatorial problems involving classical Kronecker and Littlewood-Richardson coefficients for symmetric groups. An explicit formula is provided.

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