Free 2-step nilpotent Lie algebras and indecomposable representations. Issue 7 (3rd July 2018)
- Record Type:
- Journal Article
- Title:
- Free 2-step nilpotent Lie algebras and indecomposable representations. Issue 7 (3rd July 2018)
- Main Title:
- Free 2-step nilpotent Lie algebras and indecomposable representations
- Authors:
- Cagliero, Leandro
Frez, Luis Gutiérrez
Szechtman, Fernando - Abstract:
- ABSTRACT: Given an algebraically closed field F of characteristic 0 and an F -vector space V, let L ( V ) = V ⊕ Λ 2 ( V ) denote the free 2-step nilpotent Lie algebra associated to V . In this paper, we classify all uniserial representations of the solvable Lie algebra 𝔤 = ⟨ x ⟩⋉ L ( V ), where x acts on V via an arbitrary invertible Jordan block.
- Is Part Of:
- Communications in algebra. Volume 46:Issue 7(2018)
- Journal:
- Communications in algebra
- Issue:
- Volume 46:Issue 7(2018)
- Issue Display:
- Volume 46, Issue 7 (2018)
- Year:
- 2018
- Volume:
- 46
- Issue:
- 7
- Issue Sort Value:
- 2018-0046-0007-0000
- Page Start:
- 2990
- Page End:
- 3005
- Publication Date:
- 2018-07-03
- Subjects:
- Free 2-step nilpotent Lie algebra -- uniserial representation
17B10, 17B30
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2017.1404086 ↗
- Languages:
- English
- ISSNs:
- 0092-7872
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3359.200000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6200.xml