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Original Articles

Simple A2-modules with a finite dimensional weight space

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Pages 467-510 | Received 01 Aug 1993, Published online: 27 Jun 2007

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Xiaoping Xu. (2015) A New Functor from E 6-mod to E 7-mod. Communications in Algebra 43:9, pages 3589-3635.
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Vyacheslav Futorny, Dimitar Grantcharov & Luis Enrique Ramirez. (2021) Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3). Bulletin of Mathematical Sciences 11:03.
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Xiaoping Xu. (2018) Representations of E7, equivalent combinatorics and algebraic varieties. Journal of Algebra and Its Applications 17:03, pages 1850045.
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Xiao Ping Xu. (2016) A new functor from D 5-Mod to E 6-Mod. Acta Mathematica Sinica, English Series 32:8, pages 867-892.
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XiaoPing Xu. (2015) Conformal oscillator representations of orthogonal Lie algebras. Science China Mathematics 59:1, pages 37-48.
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Jonathan Nilsson. (2015) Simple -module structures on . Journal of Algebra 424, pages 294-329.
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Cuiling Luo & Xiaoping Xu. (2014) -graded oscillator representations of symplectic Lie algebras . Journal of Algebra 403, pages 401-425.
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V Futorny & A Tsylke. (2001) Classification of Irreducible Nonzero Level Modules with Finite-Dimensional Weight Spaces for Affine Lie Algebras. Journal of Algebra 238:2, pages 426-441.
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D. J. Britten & F. W. Lemire. 2001. Algebraic Methods in Physics. Algebraic Methods in Physics 39 46 .
D. Britten & F. Lemire. (1999) On modules of bounded multiplicities for the symplectic algebras. Transactions of the American Mathematical Society 351:8, pages 3413-3431.
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S. A. Spirin. (1997) A class of infinite-dimensional weightsl(3)-modules. Functional Analysis and Its Applications 31:2, pages 142-144.
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Сергей Александрович Спирин & Sergei Aleksandrovich Spirin. (1997) Об одном классе бесконечномерных весовых $sl(3)$-модулейA Class of Infinite-Dimensional Weight $sl(3)$-Modules. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego prilozheniya 31:2, pages 88-90.
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