A. Luzgarev

activity

20102016

K

-motives, weights for them, and negative

K

-groups

10 citations · 16 across the 2 of their papers we have counts for

collaborators

4 papers

math.AG2016★ 6 cited

Normalizer of the Chevalley group of type $E_{7}$

Alexander Luzgarev, Nikolai Vavilov

We consider the simply connected Chevalley group $G (E_{7}, R)$ of type $E_{7}$ in the 56-dimensional representation. The main objective of the paper is to prove that the following four…

math.AG2016★ 10 cited

On relative $K$ -motives, weights for them, and negative $K$ -groups

Mikhail V. Bondarko, Alexander Yu. Luzgarev

We study certain triangulated categories of $K$ -motives $D K (-)$ over a wide class of base schemes, and define certain "weights" for them. We relate the weights of particular $K$ -mo…

math.AG2014

Equations determining the orbit of the highest weight vector in the adjoint representation

Alexander Luzgarev

We explicitly construct a set of quadratic equations defining the highest weight vector orbit for adjoint representations of Chevalley groups of types D_l, E_6, E_7, and E_8. The c…

math.AG2010

Elementary subgroup of an isotropic reductive group is perfect

Alexander Luzgarev, Anastasia Stavrova

Let G be an isotropic reductive algebraic group over a commutative ring R. Assume that the elementary subgroup E(R) of group of points G(R) is correctly defined. Then E(R) is perfe…

Normalizer of the Chevalley group of type E7​

On relative K-motives, weights for them, and negative K-groups

Equations determining the orbit of the highest weight vector in the adjoint representation

Elementary subgroup of an isotropic reductive group is perfect

Normalizer of the Chevalley group of type $E_{7}$

On relative $K$ -motives, weights for them, and negative $K$ -groups