A remark on the geometric Jacquet functor
Noriyuki Abe, Yoichi Mieda
TL;DR
This paper explores the action of a group on the geometric Jacquet functor, providing insights into its structure and potential applications in representation theory.
Contribution
It introduces a new action of the group N on the geometric Jacquet functor, extending previous work by Emerton-Nadler-Vilonen.
Findings
Established a new group action on the geometric Jacquet functor.
Connected the action to existing frameworks in geometric representation theory.
Potential implications for understanding automorphic forms and related areas.
Abstract
We give an action of on the geometric Jacquet functor defined by Emerton-Nadler-Vilonen.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic and Geometric Analysis