Canonical bases and related structures

Start: 03/01/2017 - 4:15pm
End  : 03/01/2017 - 5:15pm


Jacob Greenstein (UC Riverside)


Canonical bases first appeared as Kazhdan-Lusztig bases in the study of Hecke 
algebras which can be thought of as "q-deformations" of symmetric groups (or, 
more generally, Coxeter groups). These are distinguished bases of an algebra 
with prescribed invariance properties when q is replaced by its inverse. They 
are also triangular with respect to some natural initial basis. Such bases 
play an important role in algebra since Lusztig constructed them in quantum 
groups in early 90-ies using geometric methods. 

Shanahan B460, Harvey Mudd College

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