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Aspects of the Exceptional Group E8

Aspects of the exceptional group \(E_ 8\)
Authors: Wybourne, B. G.;

Aspects of the Exceptional Group E8

Abstract

Methods for calculating branching rules and Kronecker products for the exceptional group E8 are developed. In particular, tables of branching rules for E8 -> SU9 , E8 -> SU2 X E7 and E8 -> SU3 X E6 are given. The third and fourth symmetrized powers of the adjoint representation of E8 are also resolved. The relevance of E8 to unified theories of strong, electromagnetic and weak interactions is briefly considered.

Keywords

Semisimple Lie groups and their representations, Supersymmetric field theories in quantum mechanics, Applications of Lie groups to the sciences; explicit representations, irreducible representations, exceptional Lie groups, \(E_ 8\), Unified, higher-dimensional and super field theories, tensor products, Tables, branching rules

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Top 10%
gold