Journal article
Kronecker coefficients and noncommutative super Schur functions
Journal of combinatorial theory. Series A, v 158, pp 315-361
Aug 2018
Abstract
The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene [11]. We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients gλμν where one of the partitions is a hook, recovering previous results of the two authors [7,22]. This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux [19].
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Details
- Title
- Kronecker coefficients and noncommutative super Schur functions
- Creators
- Jonah Blasiak - Drexel UniversityRicky Ini Liu - North Carolina State University
- Publication Details
- Journal of combinatorial theory. Series A, v 158, pp 315-361
- Publisher
- Elsevier
- Grant note
- DMS-14071174 / NSF (https://doi.org/10.13039/100000001)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000433397400011
- Scopus ID
- 2-s2.0-85044451972
- Other Identifier
- 991019168402204721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics