A study of the representations supported by the orbit closure of the determinant. (24th October 2014)
- Record Type:
- Journal Article
- Title:
- A study of the representations supported by the orbit closure of the determinant. (24th October 2014)
- Main Title:
- A study of the representations supported by the orbit closure of the determinant
- Authors:
- Kumar, Shrawan
- Abstract:
- Abstract: We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated 'Latin square conjecture' due to Alon and Tarsi or, more precisely, on the validity of an equivalent 'column Latin square conjecture' due to Huang and Rota.
- Is Part Of:
- Compositio mathematica. Volume 151:Number 2(2015:Mar.)
- Journal:
- Compositio mathematica
- Issue:
- Volume 151:Number 2(2015:Mar.)
- Issue Display:
- Volume 151, Issue 2 (2015)
- Year:
- 2015
- Volume:
- 151
- Issue:
- 2
- Issue Sort Value:
- 2015-0151-0002-0000
- Page Start:
- 292
- Page End:
- 312
- Publication Date:
- 2014-10-24
- Subjects:
- 14L30, -- 14L24, -- 14R20, -- 20G05, -- 22E46, -- 68W30 (primary)
determinant orbit closure, -- Latin squares, -- Alon–Tarsi conjecture, -- geometric complexity theory, -- Valiant's conjecture, -- representations
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X14007660 ↗
- 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:
- 2384.xml