GAUSS Seminar

Imad Bakhira
“Quantization of the Turaev-Kauffman Polynomial Skein Algebra”

Quantum groups can be thought of as extensions of Lie algebras: They share their physical relevance while shedding away their rigidity (incapability to be "deformed"). It is well known how to obtain a Lie algebra from a quantum group, a quantization in this context is piecing together a quantum group which extends a certain Lie algebra. In this talk we follow and elaborate on the work of Turaev in showing that a modified version of the Kauffman Polynomial Skein Algebra is a quantization of the Goldman Lie algebra for the Lie group $O(n)$.

This talk aims to be self-contained to an audience with rudimentary knowledge of abstract algebra and topology.

Event Date: 
February 20, 2019 - 3:30pm to 4:30pm
113 MLH
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