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Vanishing symmetric Kronecker coefficients

  • Nicolas RessayreEmail author
Original Paper
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Abstract

In this note, we prove the vanishing of infinitely many rectangular symmetric Kronecker coefficients by finding holes in the corresponding semigroup.

Keywords

(Symmetric) Kronecker coefficients Non saturation Geometric complexity theory Orbit closure of the determinant 

Mathematics Subject Classification

20B30 20C30 20G05 
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Notes

Acknowledgements

I am very grateful to Christian Ikenmeyer for useful discussions, for mentioning mistakes in a preliminary version and his help with explicit computation. I also would like to thank Pr Mark Wildon who helped me in the using of his Haskell programs to compute plethysm coefficients. The author is partially supported by the French National Agency (Projects GeoLie ANR-15-CE40-0012 and CompA ANR-13-BS02-0001) and the Institut Universitaire de France (IUF).

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© The Managing Editors 2019

Authors and Affiliations

  1. 1.Institut Camille Jordan (ICJ), UMR CNRS 5208, Université Claude Bernard Lyon IVilleurbanne cedexFrance

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