Titlebook: Advances in Lie Superalgebras; Maria Gorelik,Paolo Papi Book 2014 Springer International Publishing Switzerland 2014 Lie superalgebra.Repr

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Robin Bekrater-Bodmann,Jens Foell,Herta FlorWe compare properties of (the parabolic version of) the BGG category . for semi-simple Lie algebras with those for classical (not necessarily simple) Lie superalgebras.

Ceramic

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https://doi.org/10.1007/978-1-349-03188-7We prove an analogue of Serre’s theorem, which describes presentations in terms of Chevalley generators and Serre type relations for the finite dimensional simple contragredient Lie superalgebras relative to all possible choices of Borel sub-algebras.

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Clinical Supervision in South Africaesults although the cohomology is not given by the kernel of the Kostant Laplace operator. Based on this cohomology we can derive strong Bernstein-Gelfand-Gelfand resolutions for finite dimensional .(1|2.)-modules. Then we state the Bott-Borel-Weil theorem which follows immediately from the Bott-Kos

separate

Robin Bekrater-Bodmann,Jens Foell,Herta Florded if there is a uniform bound on the dimension of a weight space. The minimum bound is called the degree of .. For . = .(2,1, α), we prove that every simple weight module . is bounded and has degree less than or equal to 8. This bound is attained by a cuspidal module . if and only if . belongs to

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https://doi.org/10.1007/978-1-4899-3354-6ction for the construction of classical .-algebras within the framework of Poisson vertex algebras and we establish, under certain sufficient conditions, the applicability of the Lenard-Magri scheme of integrability and the existence of the corresponding integrable hierarchy of bi-Hamiltonian equati