A geometric study of BZ operator on representations of $\mathrm{GL}_n$ over non-archimedean field
Representation Theory
2024-04-10 v1 Algebraic Geometry
Combinatorics
Abstract
In this article, we geometrically study the partial Bernstein-Zelevinsky operator introduced in the author's thesis, which generalizes the original Bernstein-Zelevinsky operator. We relate the partial Bernstein-Zelevinsky operator to the geometric induction of Lusztig and then perform explicit computations in special cases. Finally, we develop a symmetric reduction to the previously mentioned special cases
Keywords
Cite
@article{arxiv.2404.05742,
title = {A geometric study of BZ operator on representations of $\mathrm{GL}_n$ over non-archimedean field},
author = {Taiwang Deng},
journal= {arXiv preprint arXiv:2404.05742},
year = {2024}
}