Autor:	Curran, Michael J., Frechette, Claire, Yost-Wolff, Calvin, Zhang, Sylvester W., Zhang, Valerie
Rok vydání:	2021
Předmět:	Mathematics - Combinatorics 05E05 05E10
Druh dokumentu:	Working Paper
Popis:	We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super n-ribbon tableaux. Using operators on a Fock space, we prove a Cauchy identity for super LLT polynomials, simultaneously generalizing the Cauchy and dual Cauchy identities for LLT polynomials. Lastly, we construct a solvable semi-infinite Cauchy lattice model with a surprising Yang-Baxter equation and examine its connections to the Cauchy identity. Comment: 36 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.07597 Zobrazit plný text záznamu View this record from Arxiv