Exceptional groups and elementary particle structures

DOI10.1016/0378-4371(82)90294-1zbMath0509.22019OpenAlexW2019869249MaRDI QIDQ1838597

Piero Truini, L. C. Biedenharn

Publication date: 1982

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1093500/

zbMATH Keywords

automorphism groupinner idealsJordan pairscomplex octonionic planefinite-dimensional quantum-mechanical spacequark degrees of freedomtopless model for grand unification

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Unitary representations of locally compact groups (22D10)

Related Items (4)

Masses and mixing of neutral leptons in a grand unified \(E_6\) model with intermediate Pati-Salam symmetry ⋮ Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Three graded exceptional algebras and symmetric spaces ⋮ The Jordan pair content of the magic square and the geometry of the scalars in \(N=2\) supergravity

Cites Work

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• Jordan pairs
• On an algebraic generalization of the quantum mechanical formalism
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• A GENERAL THEORY OF JORDAN RINGS
• Octonion planes defined by quadratic Jordan algebras

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