2 citations · 2 across the 4 of their papers we have counts for
9 papers
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…
Cylindric partitions and some new Rogers-Ramanujan identities
Sylvie Corteel, Jehanne Dousse, Ali K. Uncu
We study the generating functions for cylindric partitions with profile for all such that . This allows us to discover and prove seven…
Generalisations of Capparelli's and Primc's identities, I: coloured Frobenius partitions and combinatorial proofs
Jehanne Dousse, Isaac Konan
In these two companion papers, we give infinite families of partition identities which generalise Primc's and Capparelli's identities, and study their consequences on the theory of…
Generalisations of Capparelli's and Primc's identities, II: perfect crystals and explicit character formulas
Jehanne Dousse, Isaac Konan
In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper,…
On partition identities of Capparelli and Primc
Jehanne Dousse
We show that, up to multiplication by a factor , the weighted words version of Capparelli's identity is a particular case of the weighted words version o…
The method of weighted words revisited
Jehanne Dousse
Alladi and Gordon introduced the method of weighted words in 1993 to prove a refinement and generalisation of Schur's partition identity. Together with Andrews, they later used it…