Decomposition of Transvections: A Theme with Variations
By Alexei Stepanov, Nikolai Vavilov. 2000
125 citations recorded by the source corpus.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/51e35b538c6d12854b71b5a629fd725eae25896f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Roozbeh Hazrat
- V. Petrov
- Nikolai Vavilov
- A. Bak
- A. Stavrova
- Sergey I. Nikolenko
- Misha Gavrilovich
- Alexei Stepanov
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Structure of Chevalley groups: The proof from the book (2007, methodology): “For classical groups, at least in vector representations, proofs using the decomposition of unipotents are very straightforward (see [ 57 ]).”
- Bak's work on the K-theory of rings (2009, methodology): “Published proofs for the special case of the hyperbolic unitary group G(2n, R, Λ) — which is the only case we need here — can be found in section 5.2 of the book of Hahn and O'Meara [78] or in the paper by Bak and Vavilov [41].”
- K1 of Chevalley groups are nilpotent (2003, background): “…looks like for the commutator [x α (a), g] with one general matrix g ∈ G for the classical groups in vector representations, [11], [12], [25], [16], or for the groups of types E 6 or E 7 in micro-weight representations, [25], [27], [26], would immediately recognise, that writing a similar…”
- Structure of Hyperbolic Unitary Groups I: Elementary Subgroups (2000, background): “A particularly simple direct proof of Suslin’s result based on decomposing unipotents was found in 1987 by Stepanov (see [55, 85] and the expositions in [56, 80, 83]).”
- Localization–completion strikes again: Relative K1 is nilpotent by abelian (2009, methodology): “In [37] we prove that this formula in fact holds for all commutative rings, the proof being another variation of the decomposition of unipotents [36].”
- Elementary subgroups of isotropic reductive groups (2009, methodology): “Various approaches to this result were discussed, for example, in [25, 35].”