Leonard Chastkofsky

activity

20082011

collaborators

3 papers

math.RT2011

Second cohomology for finite groups of Lie type

Brian D. Boe, Brian Bonsignore, Theresa Brons +13

Let $G$ be a simple, simply-connected algebraic group defined over $F_{p}$ . Given a power $q = p^{r}$ of $p$ , let $G (F_{q}) \subset G$ be the subgroup of $F_{q}$ …

math.GR2010

First cohomology for finite groups of Lie type: simple modules with small dominant weights

Brian D. Boe, Adrian M. Brunyate, Jon F. Carlson +12

Let $k$ be an algebraically closed field of characteristic $p > 0$ , and let $G$ be a simple, simply connected algebraic group defined over $F_{p}$ . Given $r \geq 1$ , set $q=…

math.RT2008

Cohomology of quantum groups: An analog of Kostant's Theorem

University of Georgia VIGRE Algebra Group, Irfan Bagci, Brian D. Boe +8

We prove the analog of Kostant's Theorem on Lie algebra cohomology in the context of quantum groups. We prove that Kostant's cohomology formula holds for quantum groups at a generi…