SL (3, C ) generator matrix elements in a Pauli subgroup basis

DOI10.1063/1.533383zbMath0973.81033OpenAlexW2063680597WikidataQ62585944 ScholiaQ62585944MaRDI QIDQ2738087

H. de Guise, R. T. Sharp, Jirí Patera

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533383

zbMATH Keywords

matrix elementsreducedfinite subgroup \(\wp_3\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

The Lorentz extension as consequence of the family symmetry

Cites Work

• Everything you always wanted to know about \(SU(3)\subset 0(3)\)
• Universal \(Z_N\)-graded differential calculus
• Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• The four sets of additive quantum numbers of SU(3)
• New gradings of sl(3,C) representations
• Conformal invariance and finite one-dimensional quantum chains
• The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
• Representations of the Weyl group and Wigner functions for SU(3)
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry

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