Matthew C. Russell

activity

20132025

most citedGhost series and a motivated proof of the Andrews-Bressoud identities

11 citations · 27 across the 14 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.CO2022

Principal subspaces of basic modules for twisted affine Lie algebras, $q$ -series multisums, and Nandi's identities

Katherine Baker, Shashank Kanade, Matthew C. Russell +1

We provide an observation relating several known and conjectured $q$ -series identities to the theory of principal subspaces of basic modules for twisted affine Lie algebras. We als…

math.CO2022★ 2 cited

Completing the $A_{2}$ Andrews-Schilling-Warnaar identities

Shashank Kanade, Matthew C. Russell

We study the Andrews-Schilling-Warnaar sum-sides for the principal characters of standard (i.e., integrable, highest weight) modules of $A_{2}^{(1)}$ . These characters have…

Principal subspaces of basic modules for twisted affine Lie algebras, q-series multisums, and Nandi's identities

Completing the A2​ Andrews-Schilling-Warnaar identities

Principal subspaces of basic modules for twisted affine Lie algebras, $q$ -series multisums, and Nandi's identities

Completing the $A_{2}$ Andrews-Schilling-Warnaar identities