Partial differential equation approach to \(E_7\)

DOI10.1007/s10114-015-3533-0zbMath1353.17008OpenAlexW2100607557WikidataQ115385218 ScholiaQ115385218MaRDI QIDQ2355456

Xiaoping Xu

Publication date: 23 July 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-3533-0

zbMATH Keywords

decompositionpartial differential equationcombinatorial identityirreducible modulesimple Lie algebra \(E_7\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Cites Work

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• \(E_{7(7)}\) symmetry and dual gauge algebra of M-theory on a twisted seven-torus
• Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)
• Isotropic trialitarian algebraic groups
• The fifty-six-dimensional module for \(E_ 7\). I: A four form for \(E_ 7\)
• Configurations of seven lines on the real projective plane and the root system of type \(E_7\)
• A minimal representation for the Lie algebra \(E_ 7\)
• Affine root systems and Dedekind's \(\eta\)-function
• Moufang quadrangles of type E 6 and E 7
• On standard L-functions for E6 and E7.
• A Geometry for E 7

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