A simplified Kronecker rule for one hook shape
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Abstract:
Recently Blasiak has given a combinatorial rule for the Kronecker coefficient $g_{\lambda \mu \nu }$ when $\mu$ is a hook shape by defining a set of colored Yamanouchi tableaux with cardinality $g_{\lambda \mu \nu }$ in terms of a process called conversion. We give a characterization of colored Yamanouchi tableaux that does not rely on conversion, which leads to a simpler formulation and proof of the Kronecker rule for one hook shape.References
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Additional Information
- Ricky Ini Liu
- Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
- Email: riliu@ncsu.edu
- Received by editor(s): August 3, 2015
- Published electronically: May 24, 2017
- Communicated by: Harm Derksen
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3657-3664
- MSC (2010): Primary 05E10; Secondary 20C30
- DOI: https://doi.org/10.1090/proc/13692
- MathSciNet review: 3665021