Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras

Details Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras

2005-10-12

arxiv.org/abs/math/0510262v1

Mathematics

Rings and Algebras

Scientific paper

Let $U$ be the enveloping algebra of a finite dimensional nonabelian Lie algebra $\mathfrak{g}$ over a field of characteristic zero. We show that there is an open nonempty open subset $X$ of $U_1 = \mathfrak{g}\oplus K$ such that $U/Ux$ is faithful for all $x \in X$. We prove similar results for homogenized enveloping algebras and for the three dimensional Sklyanin algebras at points of infinite order. It would be interesting to know if there is a common generalization of these results.

Affiliated with

Also associated with

No associations

Rating

Faithful Cyclic Modules for Enveloping Algebras and Sklyanin 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 Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Faithful Cyclic Modules for Enveloping Algebras and Sklyanin Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470239