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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A singular representation of $ E\sb 6$


Authors: B. Binegar and R. Zierau
Journal: Trans. Amer. Math. Soc. 341 (1994), 771-785
MSC: Primary 22E47
MathSciNet review: 1139491
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Abstract: Algebraic properties of a singular representation of $ {{\mathbf{E}}_6}$ are studied. This representation has the Joseph ideal as its annihilator and it remains irreducible when restricted to $ {{\mathbf{F}}_4}$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1139491-1
PII: S 0002-9947(1994)1139491-1
Keywords: Reductive Lie groups, unitary representations, singular representations, metaplectic representation, exceptional groups
Article copyright: © Copyright 1994 American Mathematical Society