I. Konan

activity

20192024

most citedA bijective proof and generalization of Siladić's Theorem

5 citations · 13 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CO2021

Partition identities from higher level crystals of $A_{1}^{(1)}$

Jehanne Dousse, Leonard Hardiman, Isaac Konan

We study perfect crystals for the standard modules of the affine Lie algebra $A_{1}^{(1)}$ at all levels using the theory of multi-grounded partitions. We prove a family of partition…

math.QA2021

Multi-grounded partitions and character formulas

Jehanne Dousse, Isaac Konan

We introduce a new generalisation of partitions, multi-grounded partitions, related to ground state paths indexed by dominant weights of Lie algebras. We use these to express chara…

Partition identities from higher level crystals of A1(1)​

Multi-grounded partitions and character formulas

Partition identities from higher level crystals of $A_{1}^{(1)}$