Elementary subgroups of isotropic reductive groups

By V. Petrov, A. Stavrova. 2009

87 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0e256f50aed78f5877cf9ddc4c5c19fb7e203fa2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Roozbeh Hazrat
2. Nikolai Vavilov
3. A. Bak
4. Alexei Stepanov
5. V. Petrov
6. A. Stavrova

In Geometry and Topology

1. Roozbeh Hazrat
2. Nikolai Vavilov
3. A. Bak
4. V. Petrov
5. Alexei Stepanov

In Mathematical Physics

1. Roozbeh Hazrat
2. Nikolai Vavilov
3. A. Bak
4. V. Petrov
5. Alexei Stepanov

Citations in the corpus

• Localization–completion strikes again: Relative K1 is nilpotent by abelian (2009, background): “Nevertheless, we are positive, that the results of [31] suffice to generalize most of the calculations of [19] to this case.”
• Affine representability results in 1–homotopy theory, II : Principal bundles and homogeneous spaces (2015, unknown): “Following Petrov and Stavrova [51], for any commutative k–algebra R and any parabolic k–subgroup P ⊂ G , we define the elementary subgroup EP(R) as the subgroup of G(R) generated by the R–points of the unipotent radical of P and the R–points of the unipotent radical of its opposite.”