ON FINITE LENGTH SMOOTH REPRESENTATIONS OF $p$-ADIC GENERAL LINEAR GROUPS (Automorphic form, automorphic $L$-functions and related topics)
-
- GUREVICH, MAXIM
- DEPARTMENT OF MATHEMATICS, TECHNINON-ISRAEL INSTITUTE OF TECHNOLOGY
この論文をさがす
抄録
We survey qualitative aspects of the study of the decomposition of finite-length smooth representations of the groups GLn(F), for a p-adic field F, with emphasis on techniques that have been developing in the recent years. We state general goals and questions on decomposition of parabolic induction of irreducible representations, and review applications for branching laws such as the local Gan-Gross-Prasad program. We give a flavor of the categorical links, and their possible applications, between the p-adic setting and the representation theory of quiver Hecke algebras of type A. Finally, we review, as a case study, the recent RSK classification of irreducible representations, introduced by the author with Lapid.
収録刊行物
-
- 数理解析研究所講究録
-
数理解析研究所講究録 2230 80-92, 2022-10
京都大学数理解析研究所
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1050014016717919872
-
- NII書誌ID
- AN00061013
-
- HANDLE
- 2433/279762
-
- ISSN
- 18802818
-
- 本文言語コード
- en
-
- 資料種別
- departmental bulletin paper
-
- データソース種別
-
- IRDB