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Minimal representations of E6, E7, and E8 and the generalized Capelli identity.

We explicitly construct, in a uniform fashion, the (unique) minimal and spherical representation pi0 of the split real Lie group of exceptional type E6, E7, or E8. We obtain several algebraic and analytic results about pi0.

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Brylinski, R, Kostant, B
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 1994
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC43390/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/11607467/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.91.7.2469
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