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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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Bruce W. Conolly,Mario Benanzioare not and the published proofs were completely different from each other. First we give simple, pedestrian arguments for both results based on the same principle. Then we give a natural generalization of these results in the setting of derived categories.
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Fitnat Dincer M.D.,Gulbuz Samutnce. Secondly, we prove that when . and . are countable-dimensional, the objects of . have finite-length as .-modules. Finally, under the same hypotheses, we compute the socle filtration of a simple object in . as a .-module.
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Algebraic Methods in the Theory of Generalized Harish-Chandra Modules,n eligible .-subalgebra (see the definition in Sect. .) in which we prove stronger versions of our main results. If . is eligible, the fundamental series of .-modules yields a natural algebraic generalization of Harish-Chandra’s discrete series modules.
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https://doi.org/10.1007/978-1-349-81735-1h primary vectors of lowest weight up to 17/2. Most solutions can be identified with simple ordinary modules for known algebras but there are also four conjectured algebras generated by weight two primaries and three conjectured extremal vertex operator algebras generated by primaries of weight 3, 4
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Book 2014 analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned-above, and reflects the widespread influence of those workshops in such areas as harmonic
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