Manchester Algebra Seminar - Philippe Meyer - Dirac operators for colour Lie algebras
|Starts:||14:00 2 Jun 2020|
|Ends:||15:00 2 Jun 2020|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, Current University students|
Speaker: Philippe Meyer - University of Oxford
Title: Dirac operators for colour Lie algebras.
Abstract: The notion of colour Lie algebra, introduced by Ree (1960), generalises notions of Lie algebra and Lie superalgebra. From an orthogonal representation V of a quadratic colour Lie algebra g, we give a criteria to construct a colour Lie algebra g’ whose bracket extends the bracket of g and the action of g on V. This criteria is used to prove a strange Freudenthal-de Vries formula for basic colour Lie algebras from a Clifford point of view. Following the use of Dirac operators in representation theory initiated by Parthasarathy in 1972, we define cubic Dirac operators for colour Lie algebras and prove a Parthasarathy formula using the same previous criteria.''
Travel and Contact Information
Zoom - online
Alan Turing Building