Euler angles for G2

DOI10.1063/1.1993549zbMath1110.81094arXivhep-th/0503106OpenAlexW3126146350MaRDI QIDQ3438577

Alberto Della Vedova, Antonio Scotti, Bianca L. Cerchiai, Giovanni Ortenzi, Sergio Luigi Cacciatori

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0503106

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (8)

Cooking pasta with Lie groups ⋮ On the Euler angles for SU(N) ⋮ On Goldman bracket for \(G_{2}\) gauge group ⋮ Compact Lie groups: Euler constructions and generalized Dyson conjecture ⋮ Exceptional thermodynamics: the equation of state of \(G_{2}\) gauge theory ⋮ Vacua and RG flows in \(N = 9\) three dimensional gauged supergravity ⋮ Spaces admitting homogeneous \(G_{2}\)-structures ⋮ Gaugings of \(N= 4\) three dimensional gauged supergravity with exceptional coset manifolds

Cites Work

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• Generalized Euler angle parameterization for \(\text{U}(N)\) with applications to \(\text{SU}(N)\) coset volume measures
• The volume of a compact Lie group
• Random matrix theory, the exceptional Lie groups andL-functions
• The octonions
• Yang-Mills integrals for orthogonal, symplectic and exceptional groups

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