منابع مشابه
On the Descent of Levi Factors
Let G be a linear algebraic group over a field k of characteristic p > 0, and suppose that the unipotent radical R of G is defined and split over k. By a Levi factor of G, one means a closed subgroup M which is a complement to R in G. In this paper, we give two results related to the descent of Levi factors. First, suppose ` is a finite Galois extension of k for which the extension degree [` : ...
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Let m be a Levi factor of a proper parabolic subalgebra q of a complex semisimple Lie algebra g. Let t = centm. A nonzero element ν ∈ t is called a t-root if the corresponding adjoint weight space gν is not zero. If ν is a t-root, some time ago we proved that gν is adm irreducible. Based on this result we develop in the present paper a theory of t-roots which replicates much of the structure of...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-020-10024-8