Geodesic
The yoga of commutators: further applications
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 166-213

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper we describe some recent applications of localisation methods to the study of commutators in the groups of points of algebraic and algebraic-like groups, such as $\mathrm{GL}(n,R)$, Bak's unitary groups $\mathrm{GU}(2l,R,\Lambda)$ and Chevalley groups $G(\Phi,R)$. In particular, we announce multiple relative commutator formula and general multiple relative commutator formula, as well as results on the bounded width of relative commutators in elementary generators. We also state some of the intermediate results as well as some corollaries of these results. At the end of the paper we attach an updated list of unsolved problems in the field. 
@article{ZNSL_2014_421_a13,
     author = {R. Hazrat and A. V. Stepanov and N. A. Vavilov and Z. Zhang},
     title = {The yoga of commutators: further applications},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {166--213},
     publisher = {mathdoc},
     volume = {421},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a13/}
}
TY  - JOUR
AU  - R. Hazrat
AU  - A. V. Stepanov
AU  - N. A. Vavilov
AU  - Z. Zhang
TI  - The yoga of commutators: further applications
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2014
SP  - 166
EP  - 213
VL  - 421
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a13/
LA  - en
ID  - ZNSL_2014_421_a13
ER  - 
%0 Journal Article
%A R. Hazrat
%A A. V. Stepanov
%A N. A. Vavilov
%A Z. Zhang
%T The yoga of commutators: further applications
%J Zapiski Nauchnykh Seminarov POMI
%D 2014
%P 166-213
%V 421
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a13/
%G en
%F ZNSL_2014_421_a13
R. Hazrat; A. V. Stepanov; N. A. Vavilov; Z. Zhang. The yoga of commutators: further applications. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 166-213. http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a13/