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arXiv · 2404.05742

A geometric study of BZ operator on representations of $\mathrm{GL}_n$ over non-archimedean field

Taiwang Deng
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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

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BibTeXRIS

Taiwang Deng. 2024-04-03. A geometric study of BZ operator on representations of $\mathrm{GL}_n$ over non-archimedean field. https://arxiv.org/abs/2404.05742

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