On a class of generalized group contractions

DOI10.1007/BF02753037zbMath0144.46201OpenAlexW2011241465MaRDI QIDQ5521352

H. D. Doebner, O. Melsheimer

Publication date: 1967

Published in: Il Nuovo Cimento A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02753037

zbMATH Keywords

theoretical physics

Related Items (22)

CONTRACTIONS OF LIE ALGEBRA REPRESENTATIONS ⋮ Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model ⋮ Contractions of low-dimensional Lie algebras ⋮ Limitable Dynamical Groups in Quantum Mechanics. II. A Model Including Arbitrary Spin ⋮ The Gel’fand–Tsetlin representations of the orthogonal Cayley–Klein algebras ⋮ On contractions of Lie algebras ⋮ Graded contractions and kinematical groups of space–time ⋮ Unnamed Item ⋮ Recursive properties of branching and BGG resolution ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ Lowest-dimensional example on non-universality of generalized Inönü-Wigner contractions ⋮ CONTRACTIONS, GENERALIZED INÖNÜ-WIGNER CONTRACTIONS AND DEFORMATIONS OF FINITE-DIMENSIONAL LIE ALGEBRAS ⋮ Quasi-classical Lie algebras and their contractions ⋮ Contractions with necessarily unbounded matrices ⋮ Conjugacy and stability theorems in connection with contraction of Lie algebras ⋮ Analytic contraction of Lie-groups ⋮ Inönü–Wigner contractions of the real four-dimensional Lie algebras ⋮ Generalized symmetries and deformations of the direct sums of Lie algebras ⋮ On the generalized Saletan contractions ⋮ On the role of semisimple subalgebras in the deformation theory of Lie algebras and their homomorphisms. General theory and applications ⋮ Equivalence of diagonal contractions to generalized IW-contractions with integer exponents ⋮ Some properties of a class of generalized Inonü-Wigner contractions

Cites Work

• The cohomology structure of an associative ring
• A note on the representations of the De Sitter group
• A class of operator algebras which are determined by groups
• Mass differences and Lie Algebras of Finite Order
• On the Contraction of Groups and Their Representations

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