Leites' classification conjecture for simple Lie superalgebras in positive characteristic

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Let kpk_p be the ground field of characteristic pp, with p≥7p\geq 7, and let g\mathfrak{g} be a finite-dimensional simple Lie superalgebra over kpk_p. 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 g\mathfrak{g} 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.

References

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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