|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
27 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
On the Cohomology of the Lie Algebra Arising from the Lower Central Series of a p-Group | | Justin Mauger
; | | Date: |
26 Mar 2003 | | Subject: | Rings and Algebras; Algebraic Topology MSC-class: 16E40 ; 16S30; 16S37 | math.RA math.AT | | Abstract: | We study the cohomology H*(A) = Ext_A(k,k) of a locally finite, connected, cocommutative Hopf algebra A over k = F_p. Specifically, we are interested in those algebras A for which H*(A) is generated as an algebra by H^1(A) and H^2(A). We shall call such algebras semi-Koszul. Given a central extension of Hopf algebras F --> A --> B with F monogenic and B semi-Koszul, we use the Cartan-Eilenberg spectral sequence and algebraic Steenrod operations to determine conditions for A to be semi-Koszul. Special attention is given to the case in which A is the restricted universal enveloping algebra of the Lie algebra obtained from the mod-p lower central series of a p-group. We show that the algebras arising in this way from extensions by Z/(p) of an abelian p-group are semi-Koszul. Explicit calculations are carried out for algebras arising from rank two p-groups, and it is shown that these are all semi-Koszul for p > 3. | | Source: | arXiv, math.RA/0303327 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER