Whittaker modules and quasi-Whittaker modules for the Euclidean Lie algebra \(\mathfrak{e}(3)\)

DOI10.1016/j.jpaa.2015.09.009zbMath1395.17016OpenAlexW1859451410WikidataQ115345430 ScholiaQ115345430MaRDI QIDQ898182

Ran Shen, Yan-an Cai, Jian-Gang Zhang

Publication date: 8 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.09.009

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (9)

Whittaker modules for the planar Galilean conformal algebra and its central extension ⋮ LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Quasi-Whittaker modules for the \(n\)-th Schrödinger algebra ⋮ Simple restricted modules for the universal central extension of the planar Galilean conformal algebra ⋮ Module structures on \(U(S^-)\) for the Schrödinger algebra ⋮ Quasi-Whittaker modules over the conformal Galilei algebras ⋮ Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules ⋮ Whittaker modules over some generalized Weyl algebras ⋮ Whittaker modules for the super-Virasoro algebras

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