Mathematics – Algebraic Geometry
Scientific paper
2009-11-10
Mathematics
Algebraic Geometry
8 pages, Accepted, Math. Res. Lett
Scientific paper
Let I be a finite set and CI be the algebra of functions on I. For a finite dimensional C algebra A with \CI contained in A we show that certain moduli spaces of finite dimsional modules are isomorphic to certain Grassmannian (quot-type) varieties. There is a special case of interest in representation theory. Lusztig defined two varieties related to a quiver and gave a bijection between their C-points (citation in article). Savage and Tingley raised the question (citation in article) of whether these varieties are isomorphic as algebraic varieties. This question has been open since Lusztig's original work. It follows from the result of this note that the two varieties are indeed isomorphic.
No associations
LandOfFree
On representation schemes and Grassmanians of finite dimensional algebras and a construction of Lusztig 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 On representation schemes and Grassmanians of finite dimensional algebras and a construction of Lusztig, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On representation schemes and Grassmanians of finite dimensional algebras and a construction of Lusztig will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-51751