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April 2014
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Welcome to the
School of Mathematical Sciences

The University of Adelaide has a proud tradition of excellence in both teaching and research across the disciplines of Applied Mathematics, Pure Mathematics and Statistics.


 
Gary Glonek
Head of School
Nigel Bean
Director of Research
Deputy Head of School
Finnur Larusson
Director of Teaching

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A generalised Kac-Peterson cocycle
11:10 Thu 17 Apr, 2014 :: Ingkarni Wardli B20 :: Pedram Hekmati :: University of Adelaide

The Kac-Peterson cocycle appears in the study of highest weight modules of infinite dimensional Lie algebras and determines a central extension. The vanishing of its cohomology class is tied to the existence of a cubic Dirac operator whose square is a quadratic Casimir element. I will introduce a closely related Lie algebra cocycle that comes about when constructing spin representations and gives rise to a Banach Lie group with a highly nontrivial topology. I will also explain how to make sense of the cubic Dirac operator in this setting and discuss its relation to twisted K-theory. This is joint work with Jouko Mickelsson.
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School of
Mathematical Sciences

Levels 6 and 7
Ingkarni Wardli Building
North Terrace Campus
The University of Adelaide
SA 5005 Australia


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Telephone: +61 8 8313 5407
Facsimile: +61 8 8313 3696