An example of $A_2$ Rogers-Ramanujan bipartition identities of level 3

Autor:	Tsuchioka, Shunsuke
Rok vydání:	2022
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We give manifestly positive Andrews-Gordon type series for the level 3 standard modules of the affine Lie algebra of type $A^{(1)}_2$. We also give corresponding bipartition identities which have representation theoretic interpretations via the vertex operators. Our proof is based on the Bordin product formula and the Corteel-Welsh recursion for the cylindric partitions, a $q$-version of Sister Celine's technique and a generalization of Andrews' partition ideals by finite automata due to Takigiku and the author. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.04811 Zobrazit plný text záznamu View this record from Arxiv