A generalized Abhyankar’s conjecture for simple Lie algebras in characteristic p>5

Autor:	Shusuke Otabe, Fabio Tonini, Lei Zhang
Rok vydání:	2021
Předmět:	Pure mathematics Conjecture Mathematics - Number Theory Group (mathematics) General Mathematics Mathematics - Algebraic Geometry Kernel (algebra) Simple (abstract algebra) Simple group Algebraic group Lie algebra Abhyankar's conjecture Mathematics - Representation Theory Mathematics
Zdroj:	Mathematische Annalen. 383:1-54
ISSN:	1432-1807 0025-5831
Popis:	In the present paper, we study a purely inseparable counterpart of Abhyankar’s conjecture for the affine line in positive characteristic, and prove its validity for all the finite local non-abelian simple group schemes in characteristic $$p>5$$ . The crucial point is how to deal with finite local group schemes which cannot be realized as the Frobenius kernel of a smooth algebraic group. Such group schemes appear as the ones associated with Cartan type Lie algebras. We settle the problem for such Lie algebras by making use of natural gradations or filtrations on them.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::945eef3cdc56232a499b8a301c71b6ed https://doi.org/10.1007/s00208-021-02269-5 Zobrazit plný text záznamu Full text from SpringerLink