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Titlebook: Developments and Retrospectives in Lie Theory; Algebraic Methods Geoffrey Mason,Ivan Penkov,Joseph A. Wolf Book 2014 Springer International

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Rollin K. Daniel,Kevin A. Brenner cleft extension . where . denotes some suitable cohomological data. When . is a quotient of . by a central subgroup . acting trivially on ., we give necessary and sufficient conditions for the existence of a surjection of quasi-Hopf algebras and cleft extensions of the type .. Our construction is p
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Rollin K. Daniel,Kevin A. Brenner the vertex operators . (., .) for . in a Levi factor of the Leibniz algebra .. generate an affine Kac–Moody subVOA. If . arises as a shift of a self-dual VOA of CFT-type, we show that .. has a “de Rham structure” with many of the properties of the de Rham cohomology of a complex connected manifold
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Anaesthesia for Upper Limb Surgery, the last 10 years, concern the structure of the fundamental series of .-modules, where . is a semisimple Lie algebra and . is an arbitrary algebraic reductive in . subalgebra. These results lead to a classification of simple .-modules of finite type with generic minimal .-types, which we state. We
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https://doi.org/10.1007/978-1-349-81735-1he polynomial functions on the eight-dimensional space of the double binary form of degree (3,1), under the action of SL. ×SL.. We reconsider Todd’s result by examining the complexified Cartan complement corresponding to the maximal compact subgroup of simply connected split ... A result of this ana
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Representations of the General Linear Lie Superalgebra in the BGG Category ,, the analog of the Kazhdan–Lusztig conjecture as formulated by the author in 2002, which was finally proved in 2011 by Cheng, Lam and Wang. Recently another proof has been obtained by the author joint with Losev and Webster, by a method which leads moreover to the construction of a Koszul-graded lift of category . for this Lie superalgebra.
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