Integral bases for the universal enveloping algebra of g tensor A

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)