A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of over a non-archimedean local …

E Lapid, A Minguez - arXiv preprint arXiv:2111.05162, 2021 - arxiv.org
In the first part of the paper we defined and studied a binary operation on the set of
irreducible components of Lusztig's nilpotent varieties of a quiver. For type $ A $ we …

On restriction of unitarizable representations of general linear groups and the non-generic local Gan–Gross–Prasad conjecture

M Gurevich - Journal of the European Mathematical Society, 2021 - ems.press
On restriction of unitarizable representations of general linear groups and the non-generic
local Gan–Gross–Prasad conjectur Page 1 © 2021 European Mathematical Society Published …

On the primality of totally ordered q-factorization graphs

A Moura, C Silva - Canadian Journal of Mathematics, 2024 - cambridge.org
We introduce the combinatorial notion of a q-factorization graph intended as a tool to study
and express results related to the classification of prime simple modules for quantum affine …

Graded Specht modules as Bernstein–Zelevinsky derivatives of the RSK model

M Gurevich - International Mathematics Research Notices, 2023 - academic.oup.com
We clarify the links between the graded Specht construction of modules over cyclotomic
Hecke algebras and the Robinson-Schensted-Knuth (RSK) construction for quiver Hecke …

[HTML][HTML] Conjectures and results about parabolic induction of representations of

E Lapid, A Mínguez - Inventiones mathematicae, 2020 - Springer
In 1980 Zelevinsky introduced certain commuting varieties whose irreducible components
classify complex, irreducible representations of the general linear group over a non …

Reality determining subgraphs and strongly real modules

M Brito, A Moura, C Silva - arXiv preprint arXiv:2406.06970, 2024 - arxiv.org
The concept of pseudo q-factorization graphs was recently introduced by the last two
authors as a combinatorial language which is suited for capturing certain properties of …