Date: Monday, January 28, 2013
Location: 3088 East Hall (4:00 PM to 5:00 PM)
Title: Electrical Networks, Electrical Lie Group and Lie Algebra
Abstract: I will first talk about another class of Lie groups, namely electrical Lie groups introduced by Thomas Lam and Pavlo Pylyavskyy. These groups or rather their positive parts act on the planar electrical networks with boundary vertices specified. The relation in the corresponding Lie algebra is suggested by the star-triangle operation in electrical network. In type A, this group is isomorphic to SP(2n). There is also a decomposition of the group analogous to the one of totally nonnegative matrices in SL(n). Towards the end, I will talk about the generalization of this definition to other Lie types, and some progress in this problem.
Speaker: Yi Su
Institution: UM
Event Organizer:
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