Výsledky vyhledávání

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Varieties of elementary subalgebras of maximal dimension for modular Lie algebras

Autor: Pevtsova, Julia, Stark, Jim

Motivated by questions in modular representation theory, Carlson, Friedlander, and the first author introduced the varieties E(r, g) of r-dimensional abelian p-nilpotent subalgebras of a p-restricted Lie algebra g. In this paper, we identify the vari

Externí odkaz: http://arxiv.org/abs/1503.01043

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Computations of sheaves associated to the representation theory of sl_2

Autor: Stark, Jim

Publikováno v: Journal of Algebra , 2014, 407, 46 - 67

We explicitly compute examples of sheaves over the projectivization of the spectrum of the cohomology of sl_2. In particular, we compute \ker\Theta_M for every indecomposable M and we compute F_i(M) when M is an indecomposable Weyl module and i \neq

Externí odkaz: http://arxiv.org/abs/1309.1505

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Detecting projectivity in sheaves associated to representations of infinitesimal groups

Autor: Stark, Jim

Publikováno v: Journal of Pure and Applied Algebra , 2015, 219, 1826 - 1849

Let G be an infinitesimal group scheme of finite height r and V(G) the scheme which represents 1-parameter subgroups of G. We consider sheaves over the projectivization P(G) of V(G) constructed from a G-module M. We show that if P(G) is regular then

Externí odkaz: http://arxiv.org/abs/1309.1504

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