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- W2950551653 abstract "The analogs of Chevalley generators are offered for simple (and close to them) Z-graded complex Lie algebras and Lie superalgebras of polynomial growth without Cartan matrix. We show how to derive the defining relations between these generators and explicitly write them for a most natural (distinguished in terms of Penkov and Serganova) system of simple roots. The results are given mainly for Lie superalgebras whose component of degree zero is a Lie algebra (other cases being left to the reader). Observe presentations of exceptional Lie superalgebras and Lie superalgebras of hamiltonian vector fields. Now we can, at last, q-quantize the Lie Lie superalgebras of hamiltonian vector fields and Poisson superalgebras." @default.
- W2950551653 created "2019-06-27" @default.
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- W2950551653 date "2002-02-18" @default.
- W2950551653 modified "2023-09-26" @default.
- W2950551653 title "Defining relations for classical Lie superalgebras without Cartan matrices" @default.
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