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Fioresi-Palmieri, SLC75i
Séminaire Lotharingien de Combinatoire, B75i (2018), 8 pp.
Rita Fioresi and Riccardo Palmieri
The Push-the-Button Algorithm for Contragredient Lie Superalgebras
Abstract.
We apply the idea of the "push-the-button" algorithm,
introduced by Chuah and Hu in
[J. Algebra 279 (2004), 22-37],
to the Vogan superdiagram
associated to a contragredient Lie superalgebra. We
obtain the Borel-de Siebenthal Theorem in the supersetting,
leading to the classification
of the real forms of contragredient Lie superalgebras
(previously discussed in
[V.~G.~Kac, Adv. Math. 26 (1977), 8-96;
V.~Serganova, Funkt. Anal. Prilozhen. 17 (1983), 46-54;
M.~Parker, J. Math. Phys. 21 (1980), 689-798]).
Received: February 14, 2016.
Accepted: January 2, 2018.
Final Version: January 3, 2018.
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