Mathematics – Representation Theory
Scientific paper
2009-06-04
Mathematics
Representation Theory
17 pages
Scientific paper
In this paper, as the first step towards classification of simple weight modules with finite dimensional weight spaces over Witt algebras $W_n$, we explicitly describe supports of such modules. We also obtain some descriptions on the support of an arbitrary simple weight module over a $\Z^n$-graded Lie algebra $\mathfrak{g}$ having a root space decomposition $\oplus_{\alpha\in\Z^n}\mathfrak {g}_\alpha$ with respect to the abelian subalgebra $\mathfrak {g}_0$, with the property $[\mathfrak{g}_\alpha,\mathfrak {g}_\beta]= \mathfrak {g}_{\alpha+\beta}$ for all $\alpha,\beta\in\Z^n$, $\alpha\neq \beta$ (this class contains the algebra $W_n$).
Mazorchuk Volodymyr
Zhao Kaiming
No associations
LandOfFree
Supports of weight modules over Witt algebras 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 Supports of weight modules over Witt algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supports of weight modules over Witt algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-495074