This paper provides a detailed study for the minimal representations of affine Kac-Moody groups. Moreover, the minimal representation degrees are calculated directly from the root systems of the related groups, this leads to the result that the minimal representation degree and the root system of an affine Kac-Moody group are mutually determined by each other.

Minimal representation degrees of affine Kac-Moody groups

CHEN, Yu
2009-01-01

Abstract

This paper provides a detailed study for the minimal representations of affine Kac-Moody groups. Moreover, the minimal representation degrees are calculated directly from the root systems of the related groups, this leads to the result that the minimal representation degree and the root system of an affine Kac-Moody group are mutually determined by each other.
2009
Recent Developments in Algebra and Related Areas
Higher Education Press, Beijing, China and International Press, Somerville, MA, USA.
Advanced Lectures in Mathematics vol. 8
30
52
9787040254785
Kac-Moody group; representation
Y. Chen
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/137776
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