We define and study category $\mathcal O $ for a symplectic resolution, generalizing the
classical BGG category $\mathcal O $, which is associated with the Springer resolution. This …

Abstract We study the Andrews–Schilling–Warnaar sum-sides for the principal characters of
standard (ie, integrable, highest weight) modules of. These characters have been studied …

Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the
projective line to the flag variety of GL n. We construct the action of the Yangian of sl _n in …

We prove a conjecture of Rouquier relating the decomposition numbers in category for a
cyclotomic rational Cherednik algebra, including the connection of decomposition numbers …

Inspired by a number of recent papers by Corteel, Dousse, Foda, Uncu and Welsh on
cylindric partitions and Rogers–Ramanujan-type identities, we obtain the $\mathrm {A} _2 …

Based on the screened vertex operators associated with the affine screening operators, we
introduce the formal power series which we call the non-stationary Ruijsenaars function. We …

Abstract We study the Andrews–Gordon–Bressoud (AGB) generalisations of the Rogers–
Ramanujan q-series identities in the context of cylindric partitions. We recall the definition of …

The $$\varvec{A}_2$$ Rogers–Ramanujan Identities Revisited | SpringerLink Skip to main
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We define a measure on tuples of partitions, called the symplectic Schur process, that
should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for …

We make explicit a triple crystal structure on higher level Fock spaces, by investigating at the
combinatorial level the actions of two affine quantum groups and of a Heisenberg algebra …