On simple modules over conformal Galilei algebras

P. Havas and J. Plebanski. Conformal extensions of the Galilei group and their relation to the Schrödinger group, J. Math. Phys. 19

1978

Earlier work this paper cites.

R. Block. The irreducible representations of the Lie algebra 𝔰 ​ 𝔩 ​ ( 2 ) \mathfrak{sl}(2) and of the Weyl algebra. Adv. Math. 139

1981

Earlier work this paper cites.

V. Kac, A. Raina. Bombay lectures on highest weight representations of infinite-dimensional Lie algebras. Advanced Series in Mathematical Physics, 2

1987

Earlier work this paper cites.

Yu. Drozd, V. Futorny, S. Ovsienko. Harish-Chandra subalgebras and Gelʹfand-Zetlin modules. Finite-dimensional algebras and related topics (Ottawa, ON, 1992), 79–93, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 424

1994

Earlier work this paper cites.

V. Dobrev, H. D. Doebner, C. Mrugalla. Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations. Reports on Mathematical Physics 39

1997

Earlier work this paper cites.

V. Futorny. Representations of Affine Lie Algebras. Queen’s Papers in Pure and Appl. Math., vol. 106

1997

Earlier work this paper cites.

Ch. Mrugalla. Quantum mechanical evolution equations based on Lie-algebraic and q-deformed symmetries. Ph.D thesis, Technischen Universität Clausthal (1997)

1997

Earlier work this paper cites.

J. Negro, M. A. del Olmo and A. Rodriguez-Marco. Nonrelativistic conformal groups. J. Math. Phys. 38

1997

Earlier work this paper cites.

O. Mathieu. Classification of irreducible weight modules. Ann. Inst. Fourier (Grenoble) 50

2000

Earlier work this paper cites.

N. Aizawa, V. K. Dobrev and H.-D. Doebner. Intertwining operators for Schrödinger algebras and hierarchy of invariant equations. In Proc. Second Int. Symp. Quantum Theory and Symmetries, eds. E. Kapuscik and A. Horzela (World Scientific, 2002), pp. 222–227

2002

Cited alongside, same era.

M. Henkel and J. Unterberger. Schrodinger invariance and spacetime symmetries, Nucl. Phys. B 660

2003

Cited alongside, same era.

J. Lukierski, P. C. Stichel and W. J. Zakrzewski. Exotic Galilean conformal symmetry and its dynamical realisations. Phys. Lett. A 357

2006

Cited alongside, same era.

J. Lukierski, P. C. Stichel and W. J. Zakrzewski. Acceleration-extended Galilean symmetries with central charges and their dynamical realization. Phys. Lett. B 650

2007

Cited alongside, same era.

K. Christodoulopoulou. Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine Lie algebras. J. Algebra, 320

P. Batra, V. Mazorchuk. Blocks and modules for Whittaker pairs. J. Pure Appl. Algebra 215

2011

Later among the works it cites.

C. Duval and P. A. Horvathy. Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes. J. Phys. A: Math. Theor. 44

2011

Later among the works it cites.

A. Galajinsky, I. Masterov. Remarks on l -conformal extension of the Newton-Hooke algebra. Phys. Lett. B 702

2011

Later among the works it cites.

B. Wilson. Highest-weight theory for truncated current Lie algebras. J. Algebra 336

2011

Later among the works it cites.

N. Aizawa, P.S. Isaac, Y. Kimura. Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extension. International Journal of Mathematics 23

2012

Later among the works it cites.