Casimir operators of the exceptional group G2

DOI10.1063/1.530293zbMath0807.22009arXivhep-th/9306062OpenAlexW3125491543MaRDI QIDQ4276806

K. Riesselmann, A. M. Bincer

Publication date: 17 November 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9306062

zbMATH Keywords

invariantssemisimple groupsadjoint representationCasimir operators of \(G_ 2\)exceptional group \(E_ 6\)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General properties and structure of other Lie groups (22E20)

Related Items

An explicit construction of Casimir operators and eigenvalues. I, LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g₂, Exceptional thermodynamics: the equation of state of \(G_{2}\) gauge theory, Geometry of the non-compact G(2), The branching problem for generalized Verma modules, with application to the pair (so(7), LieG₂), GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

Cites Work

• Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. V
• A pair of commuting scalars for G(2) ⊇ SU(2)×SU(2)
• The matrix representations of g2. II. Representations in an su(3) basis
• Symmetric power sum expansions of the eigenvalues of generalised Casimir operators of semi-simple Lie groups
• A criterion for completeness of Casimir operators
• Quark structure and octonions
• S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
• Labeling States and Constructing Matrix Representations of G2