On irreducible representations of the exotic conformal Galilei algebra

DOI10.1088/1751-8113/44/3/035401zbMath1206.81054arXiv1010.4075OpenAlexW2951426433MaRDI QIDQ3074721

Naruhiko Aizawa, Phillip S. Isaac

Publication date: 10 February 2011

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

Full work available at URL: https://arxiv.org/abs/1010.4075

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

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Skew-symmetric biderivations and linear commuting maps on the conformal Galilei algebra ⋮ The Lie algebra of the lowest transitively differential group of degree three ^* ⋮ A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras ⋮ Logarithmic exotic conformal Galilean algebras ⋮ On Casimir operators of conformal Galilei algebras ⋮ On simple modules over conformal Galilei algebras ⋮ HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION ⋮ NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE ⋮ Possible central extensions of non-relativistic conformal algebras in 1+1 ⋮ Classification of simple weight modules over the 1-spatial ageing algebra

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