University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar > Generalized spin representations

## Generalized spin representationsAdd to your list(s) Download to your calendar using vCal - Guntram Hainke, University of Birmingham
- Thursday 24 February 2011, 16:00-17:00
- Watson Building, Lecture Room A.
If you have a question about this talk, please contact David Craven. The special orthogonal group SO _{n}(R).Kac–Moody algebras were introduced in the 1960s to generalize complex semisimple Lie algebras and have since then found applications in theoretical physics. For a Kac–Moody algebra g one can similarly define its maximal compact subalgebra
as In the case of In this talk, we discuss this representation and introduce a general framework which encompasses it. With the help of these so-called generalized spin representations, we derive some algebraic properties of maximal compact subalgebras of simply-laced Kac–Moody algebras. This is joint work with Ralf Gramlich. This talk is part of the Birmingham and Warwick Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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