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Some Lie (super)algebras generated by reflections

Some Lie (super)algebras generated by reflections

Start: 
Tuesday, April 14, 2026 11:00 am
End: 
Tuesday, April 14, 2026 11:50 am
Location: 
TBD
Chris Drupieski
DePaul University

In 2007, motivated by questions from the representation theory of the braid group, Ivan Marin computed the structure of the Lie algebra generated by the transpositions in the group algebra of the symmetric group. In this talk I’ll describe Marin’s results and report on joint work with Jonathan Kujawa investigating analogous questions for arbitrary finite reflection groups, as well as results on the Lie superalgebras generated by the same sets of elements.

Contact: 
Jon Kujawa