Grothendieck-to-Lascoux expansions

M Shimozono, T Yu - Transactions of the American Mathematical Society, 2023 - ams.org
We establish the conjecture of Reiner and Yong for an explicit combinatorial formula for the
expansion of a Grothendieck polynomial into the basis of Lascoux polynomials. This …

On the Product Functor on Inner forms of the General Linear Group Over A Non-Archimedean Local Field

KY Chan - Transformation Groups, 2024 - Springer
Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …

Simple modules for quiver Hecke algebras and the Robinson–Schensted–Knuth correspondence

M Gurevich - Journal of the London Mathematical Society, 2023 - Wiley Online Library
We formalize some known categorical equivalences to give a rigorous treatment of smooth
representations of pp‐adic general linear groups, as ungraded modules over quiver Hecke …

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 …

Quantum invariants for decomposition problems in type A rings of representations

M Gurevich - Journal of Combinatorial Theory, Series A, 2021 - Elsevier
We prove a combinatorial rule for a complete decomposition, in terms of Langlands
parameters, for representations of p-adic GL n that appear as parabolic induction from a …

Quantum invariants for decomposition problems in type A rings of representations

M Gurevich - arXiv preprint arXiv:1711.01721, 2017 - arxiv.org
We prove a combinatorial rule for a complete decomposition, in terms of Langlands
parameters, for representations of p-adic $ GL_n $ that appear as parabolic induction from a …

[PDF][PDF] MASTERARBEIT/MASTER'S THESIS

MH Reibnegger - 2022 - phaidra.univie.ac.at
We give an introduction to so called RSK-standard modules that were introduced by
Gurevich and Lapid in [GL21] and provide a link between the Robinson-Schensted-Knuth …