Leites' classification conjecture for simple Lie superalgebras in positive characteristic
Leites' classification conjecture for simple Lie superalgebras in positive characteristic
Let be the ground field of characteristic , with , and let be a finite-dimensional simple Lie superalgebra over . The examples of Proposition 5.1.3 refer to the listed classical constructions in the positive-characteristic setting; the claim also concerns exceptional Lie superalgebras and algebras of Cartan type. Leites' classification conjecture. Every such is either one of the examples of Proposition 5.1.3, an exceptional Lie superalgebra, or a certain algebra of Cartan type. This is the positive-characteristic analogue of the classification theorem stated immediately beforehand; the precise list of exceptional and Cartan-type algebras remains to be established in the stated generality.
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Sources & referencesView supporting material
Primary source
Nate Harman and Daniil Kalinov, “Classification of simple algebras in Deligne category Rep(S_t)”, arXiv:1901.05080 (2019).
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