Derivations from the even parts into the odd parts for Lie superalgebras W and S

Details Derivations from the even parts into the odd parts for Lie superalgebras W and S Derivations from the even parts into the odd parts for Lie superalgebras W and S

2005-09-08

arxiv.org/abs/math/0509177v1

J. Lie Theory. 17 (2007) 449-468

Mathematics

Rings and Algebras

19 pages

Scientific paper

Let $\mathcal{W}$ and $\mathcal{S}$ denote the even parts of the general Witt superalgebra $W$ and the special superalgebra $S$ over a field of characteristic $ p>3,$ respectively. In this note, using the method of reduction on $\mathbb{Z}$-gradations, we determine the derivation space $\mathrm{Der}(\mathcal{W}, W_{\bar{1}})$ from $\mathcal{W}$ into $W_{\bar{1}} $ and the derivation space $\mathrm{Der}(\mathcal{S}, W_{\bar{1}})$ from $\mathcal{S}$ into $W_{\bar{1}}. $ In particular, the derivation space $\mathrm{Der}(\mathcal{S}, S_{\bar{1}})$ is determined.

Affiliated with

Also associated with

No associations

Rating

Derivations from the even parts into the odd parts for Lie superalgebras W and S does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivations from the even parts into the odd parts for Lie superalgebras W and S, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivations from the even parts into the odd parts for Lie superalgebras W and S will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1852