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- W2057782406 abstract "A description of the set of primitive ideals is obtained for the enveloping algebra V of a classical Lie superalgebra 𝔤 = 𝔤0 ⊕ 𝔤1 in the series A(m, n), C(n), P(n). In particular, a bijective function is presented from prim V onto the well-known set prim U, where U denotes the enveloping algebra of the reductive Lie algebra 𝔤0. This function, dependent only upon a choice of ad𝔤0-composition series for 𝔤1, extends in part a correspondence established by V. G. Kac between equivalence classes of finite dimensional irreducible representations. Our methods rely on I. M. Musson's extension of Duflo's Theorem to classical Lie superalgebras and on our previous studies of noetherian ring extensions. While the above function extends to a bijection between prime spectra, it does not preserve inclusions and so does not reveal the topological structure." @default.
- W2057782406 created "2016-06-24" @default.
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- W2057782406 date "1996-02-01" @default.
- W2057782406 modified "2023-09-23" @default.
- W2057782406 title "A Bijection of Primitive Spectra for Classical Lie Superalgebras of Type I" @default.
- W2057782406 doi "https://doi.org/10.1112/jlms/53.1.39" @default.
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