Geodesic
Honeycombs for Hall polynomials
Paul Zinn-Justin1
1The University of Melbourne
The electronic journal of combinatorics, Tome 27 (2020) no. 2
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We propose a new formulation of Hall polynomials in terms of honeycombs, which were previously introduced in the context of the Littlewood–Richardson rule. We prove a Pieri rule and associativity for our honeycomb formula, thus showing equality with Hall polynomials. Our proofs are linear algebraic in nature, extending nontrivially the corresponding bijective results for ordinary Littlewood–Richardson coefficients [A. Knutson, T. Tao, C. Woodward, 2004].
DOI : 10.37236/9040
Classification : 05E05
Mots-clés : Hall polynomials, Honeycombs, fugacity, Pieri rule, excavation moves

Paul Zinn-Justin  1

1 The University of Melbourne 
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     doi = {10.37236/9040},
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Paul Zinn-Justin. Honeycombs for Hall polynomials. The electronic journal of combinatorics, Tome 27 (2020) no. 2. doi: 10.37236/9040

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