On Casimir operators of conformal Galilei algebras
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Publication:4621277
DOI10.1063/1.5064840zbMath1431.17017arXiv1809.06666OpenAlexW3098493241MaRDI QIDQ4621277
Ian Marquette, Phillip S. Isaac, Fahad Sameer Alshammari
Publication date: 11 February 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06666
Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items (7)
s l 2 -Harish-Chandra modules for sl2⋉L(4) ⋮ LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Casimir operators of centrally extended $l$-conformal Galilei algebra ⋮ The Lie algebra of the lowest transitively differential group of degree three * ⋮ Trace formulas for the Casimir operators of the unextended Schrödinger algebra S(N) ⋮ Three-dimensional (higher-spin) gravities with extended Schrödinger and \(l\)-conformal Galilean symmetries ⋮ Generalized conformal pseudo-Galilean algebras and their Casimir operators
Cites Work
- Unnamed Item
- Coset spaces and Einstein manifolds with \(l\)-conformal Galilei symmetry
- Intertwining operator realization of non-relativistic holography
- Galilean conformal algebra in two dimensions and cosmological topologically massive gravity
- Acceleration-extended Galilean symmetries with central charges and their dynamical realizations
- Nonstandard approach to gravity for the dark sector of the universe
- Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
- Exotic Galilean conformal symmetry and its dynamical realisations
- Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
- Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations
- Dynamical realization of l-conformal Galilei algebra and oscillators
- Dynamical realizations of \(l\)-conformal Newton-Hooke group
- Ricci-flat spacetimes with \(l\)-conformal Galilei symmetry
- (2 + 1)D exotic Newton-Hooke symmetry, duality and projective phase
- Comments on Galilean conformal field theories and their geometric realization
- On unitary ray representations of continuous groups
- Intertwining operators for ℓ-conformal Galilei algebras and hierarchy of invariant equations
- A new matrix method for the Casimir operators of the Lie algebras and
- On irreducible representations of the exotic conformal Galilei algebra
- Conformal Galilei groups, Veronese curves and Newton–Hooke spacetimes
- Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
- Non-relativistic conformal symmetries and Newton–Cartan structures
- Casimir invariants and vector operators in simple and classical Lie algebras
- Nonrelativistic conformal groups
- Nonrelativistic conformal groups. II. Further developments and physical applications
- Kinematical Lie algebras via deformation theory
- Kinematical lie algebras in 2 + 1 dimensions
- A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
- HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION
- Possible central extensions of non-relativistic conformal algebras in 1+1
- S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
- On the number of Casimir operators associated with any lie group
- Possible Kinematics
- CASIMIR OPERATORS FOR SEMISIMPLE LIE GROUPS
- Theory of Complex Spectra. IV
- On dynamical realizations of \(l\)-conformal Galilei and Newton-Hooke algebras
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