Some non‐Koszul algebras from rational homotopy theory. (23rd March 2015)
- Record Type:
- Journal Article
- Title:
- Some non‐Koszul algebras from rational homotopy theory. (23rd March 2015)
- Main Title:
- Some non‐Koszul algebras from rational homotopy theory
- Authors:
- Conner, A.
Goetz, P. - Abstract:
- Abstract : The McCool group, denotedP Σ n, is the group of pure symmetric automorphisms of a free group of rankn . A presentation of the cohomology algebraH * ( P Σ n, Q ) was determined by Jensen, McCammond, and Meier. We prove thatH * ( P Σ n, Q ) is a non‐Koszul algebra forn ⩾ 4, which answers a question of Cohen and Pruidze. We also study the enveloping algebra of the graded Lie algebra associated to the lower central series ofP Σ n, and prove that it has two natural decompositions as a smash product of algebras.
- Is Part Of:
- Bulletin of the London Mathematical Society. Volume 47:Part 3(2015:Jun.)
- Journal:
- Bulletin of the London Mathematical Society
- Issue:
- Volume 47:Part 3(2015:Jun.)
- Issue Display:
- Volume 47, Issue 3, Part 3 (2015)
- Year:
- 2015
- Volume:
- 47
- Issue:
- 3
- Part:
- 3
- Issue Sort Value:
- 2015-0047-0003-0003
- Page Start:
- 473
- Page End:
- 482
- Publication Date:
- 2015-03-23
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://blms.oxfordjournals.org ↗
http://www.journals.cambridge.org/jid_BLM ↗
http://ukcatalogue.oup.com/ ↗
http://firstsearch.oclc.org ↗ - DOI:
- 10.1112/blms/bdv019 ↗
- Languages:
- English
- ISSNs:
- 0024-6093
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 2605.770000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 9114.xml