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math.RT2008★ 3 cited
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…
math.RT2008
Ext^1-quivers for the Witt algebra W(1,1)
Brian D. Boe, Daniel K. Nakano, Emilie Wiesner
Let g be the finite dimensional Witt algebra W(1,1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W(1,1)-modules are finite dimension…