The algebra and group deformations Im [SO(n)⊗SO(m)]⇒SO(n,m), Im [U(n)⊗U(m)]⇒U(n,m), and Im [Sp(n)⊗Sp(m)]⇒Sp(n,m) for 1⩽m⩽n

DOI10.1063/1.1666589zbMath0293.17008OpenAlexW1566803529MaRDI QIDQ4044757

Kurt Bernardo Wolf, Charles P. Boyer

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666589

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Lie algebras of linear algebraic groups (17B45)

Related Items (5)

Quantum algebras for maximal motion groups of \(N\)-dimensional flat spaces ⋮ The relativistic coma aberration. I. Geometrical optics ⋮ The relativistic coma aberration. II. Helmholtz wave optics ⋮ Contractions, deformations and curvature ⋮ Hidden symmetry and potential group of the Maxwell fish-eye

Cites Work

• Irreducible unitary representations of the Lorentz group
• Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups
• The group chain S On,1⊃S O1,1⊗S On−1, a complete solution to the ``missing label problem
• Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I
• Continuous Degenerate Representations of Noncompact Rotation Groups. II
• Construction of Invariants for Lie Algebras of Inhomogeneous Pseudo-Orthogonal and Pseudo-Unitary Groups
• Deformation and Contraction of Lie Algebras
• Expansion of Lie Groups and Representations of SL(3, C)
• Degenerate Representations of the Symplectic Groups II. The Noncompact Group Sp(p, q)
• Expansion of the Inhomogeneous Pseudo-unitary Symplectic Lie Algebras IUSp(2v1, 2v2) to USp(2v1 + 2, 2v2) or to USp(2v1, 2v2 + 2)
• Complete Sets of Functions on Homogeneous Spaces with Compact Stabilizers
• On the Decomposition SO(p,1)⊃SO(p−1,1) for Most Degenerate Representations
• Rank 1 Expansions
• The U n,1 and IUn Representation Matrix Elements
• On the supplementary series of SO0(p, 1)

This page was built for publication: The algebra and group deformations Im [SO(n)⊗SO(m)]⇒SO(n,m), Im [U(n)⊗U(m)]⇒U(n,m), and Im [Sp(n)⊗Sp(m)]⇒Sp(n,m) for 1⩽m⩽n