Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups

DOI10.1063/1.1666257zbMath0284.17005OpenAlexW1966972024WikidataQ115333886 ScholiaQ115333886MaRDI QIDQ4771399

Charles P. Boyer, Kurt Bernardo Wolf

Publication date: 1973

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

Full work available at URL: https://semanticscholar.org/paper/9f90ddd02947d45b19be11756db2926f69608cfa

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Representations of Lie and linear algebraic groups over local fields (22E50) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

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]

Cites Work

• A simple model of a system possessing rotational states
• Irreducible unitary representations of the Lorentz group
• Contraction of Lie Groups
• Homogeneous functions as a basis of unitary representations of groupsSL(n, C)
• Unitary Irreducible Representations of SL (3, R)
• Construction of Invariants for Lie Algebras of Inhomogeneous Pseudo-Orthogonal and Pseudo-Unitary Groups
• Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n)
• Deformation and Contraction of Lie Algebras
• Expansion of Lie Groups and Representations of SL(3, C)
• 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
• 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: Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups