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Copyright © 2011 Claremont Center for the Mathematical Sciences

10/26/2010 - 12:15pm

10/26/2010 - 1:10pm

Speaker:

Sam Chamberlin (UC Riverside)

Abstract:

Given a finite-dimensional, simple Lie algebra g over C and A, a commutative, associative algebra with unity over C, we exhibit a Z-form for the universal enveloping algebra of g tensor A and an explicit Z-basis for this Z-form. We also produce explicit commutation formulas in the universal enveloping algebra of sl_2 tensor A that allow us to write certain elements in PBW basis order.

Where:

Millikan 208 (Pomona College)