Event time:
Wednesday, September 3, 2008 - 12:30pm to 1:30pm
Location:
431 DL
Speaker:
Apoorva Khare
Speaker affiliation:
University of California, Riverside
Event description:
We study a family of infinite-dimensional algebras that are similar to semisimple Lie algebras as well as symplectic reflection algebras. Infinitesimal Hecke algebras over sl(2) have a triangular decomposition and a nontrivial center, which yields an analogue of Duflo’s Theorem (about primitive ideals), as well as a block decomposition of the BGG Category O.
These algebras also have a quantized version, with similar representation theory; in particular, Category O has a block decomposition, even though the center is trivial.
Finally, we discuss some questions about the higher rank cases, and certain related setups.
(Joint with A.Tikaradze, and also with W.L.Gan.)
Special note:
Talk is on Wednesday!