Weight modules and their extensions over a class of algebras similar to the enveloping algebra of \(\mathfrak{sl}(2,\mathbb{C})\)
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Publication:1897799
DOI10.1006/JABR.1995.1217zbMath0847.17005OpenAlexW2070759716MaRDI QIDQ1897799
Jie Xiao, Freddy M. J. van Oystaeyen
Publication date: 13 November 1995
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1995.1217
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)
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Simple weith modules over twisted generalized weyl algebras ⋮ Basic properties of generalized down-up algebras. ⋮ Generalized down-up algebras revisited from a viewpoint of Gröbner basis theory ⋮ A class of finite-dimensional representations of \(U_q(sl_2)\)
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