The explicit Zelevinsky–Aubert duality. Issue 2 (20th February 2023)
- Record Type:
- Journal Article
- Title:
- The explicit Zelevinsky–Aubert duality. Issue 2 (20th February 2023)
- Main Title:
- The explicit Zelevinsky–Aubert duality
- Authors:
- Atobe, Hiraku
Mínguez, Alberto - Abstract:
- Abstract : In this paper, we give an explicit computable algorithm for the Zelevinsky–Aubert duals of irreducible representations of $p$ -adic symplectic and odd special orthogonal groups. To do this, we establish explicit formulas for certain derivatives and socles. We also give a combinatorial criterion for the irreducibility of certain parabolically induced representations.
- Is Part Of:
- Compositio mathematica. Volume 159:Issue 2(2023)
- Journal:
- Compositio mathematica
- Issue:
- Volume 159:Issue 2(2023)
- Issue Display:
- Volume 159, Issue 2 (2023)
- Year:
- 2023
- Volume:
- 159
- Issue:
- 2
- Issue Sort Value:
- 2023-0159-0002-0000
- Page Start:
- 380
- Page End:
- 418
- Publication Date:
- 2023-02-20
- Subjects:
- Zelevinsky–Aubert duality -- derivatives -- socles
22E50 -- 11S37
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X22007904 ↗
- Languages:
- English
- ISSNs:
- 0010-437X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3366.000000
British Library STI - ELD Digital Store - Ingest File:
- 25938.xml