Generalized Catalan numbers

2020/11/19 by Zhang, Keke
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.09593

Abstract

A finitization of the Catalan numbers C_n can be defined as Euler characteristics of an algebraic structure. We conjecture the existence of a q -deformed version of such structure, and provide evidence for the first two non-trivial cases. This q -deformed version will likely categorify series arise from identities of the Roger-Ramanujan type.

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