Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions
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Publication:4873293
DOI10.1063/1.530905zbMath0854.17036OpenAlexW1977318778MaRDI QIDQ4873293
Publication date: 22 January 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530905
Related Items (23)
Expanding Lie (super)algebras through Abelian semigroups ⋮ Contractions of low-dimensional Lie algebras ⋮ Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\) ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ Three-dimensional hypergravity theories and semigroup expansion method ⋮ On rigidity of 3d asymptotic symmetry algebras ⋮ Infinite S-expansion with ideal subtraction and some applications ⋮ Contractions from \(\operatorname{osp}(1 | 32) \oplus \operatorname{osp}(1 | 32)\) to the M-theory superalgebra extended by additional fermionic generators ⋮ Generalized Wigner-Inönü contractions and Maxwell (super)algebras ⋮ CONTRACTIONS, GENERALIZED INÖNÜ-WIGNER CONTRACTIONS AND DEFORMATIONS OF FINITE-DIMENSIONAL LIE ALGEBRAS ⋮ Formal deformations, contractions and moduli spaces of Lie algebras ⋮ Expansions of algebras and superalgebras and some applications ⋮ Graded contractions of the Gell-Mann graded $sl(3,\mathbb {C})$sl(3,C) ⋮ An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ Relativity symmetries and Lie algebra contractions ⋮ Contractions, deformations and curvature ⋮ Geometrical aspects of the Lie algebra S-expansion procedure ⋮ Contractions of Lie algebras and separation of variables. The n-dimensional sphere ⋮ Identities of graded algebras ⋮ An extension based determinantal method to compute Casimir operators of Lie algebras ⋮ THE GENERAL STRUCTURE OF G-GRADED CONTRACTIONS OF LIE ALGEBRAS, II: THE CONTRACTED LIE ALGEBRA ⋮ Contractions of Filippov algebras ⋮ Integration of massive states as contractions of nonlinear σ models
Cites Work
- A class of operator algebras which are determined by groups
- Contraction of Lie Groups
- Discrete and continuous graded contractions of Lie algebras and superalgebras
- Discrete and continuous graded contractions of representations of Lie algebras
- Contraction of Lie algebra representations
- The three-dimensional real Lie algebras and their contractions
- On the Contraction of Groups and Their Representations
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