Results 121 to 130 of about 16,241 (233)

Triangular Automorphisms

open access: yes, 2017
This chapter focuses on triangular automorphisms, which can be analyzed by Lie techniques. Throughout the discussion K is a commutative ring containing ℚ as a subring.
Matthias Aschenbrenner   +2 more
core   +1 more source

On nilpotent filiform Lie algebras of dimension eight

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
doaj   +1 more source

Metric properties of outer space

open access: yes
We define metrics on Culler-Vogtmann space, which are an analogue of the Teichmuller metric and are constructed using stretching factors. In fact the metrics we study are related, one being a symmetrised version of the other.
Francaviglia, Stefano, Martino, Armando
core   +1 more source

Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

open access: yesJournal of Applied Mathematics, 2014
The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by ...
Qiang Mu
doaj   +1 more source

On Tensor Squares of Reducible Representations of Almost Simple Groups. II

open access: yesМоделирование и анализ информационных систем, 2011
Almost simple {SM}_m -groups are considered. A group G is called {SM}_m -group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than m.
S. V. Polyakov
doaj  

Classical R-Operators and Integrable Generalizations of Thirring Equations

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras g^σ in different gradings and associated ''triangular'' R-operators.
Taras V. Skrypnyk
doaj   +1 more source

Bilocal automorphisms [PDF]

open access: yes, 2014
We prove that every bilocal automorphism of a matrix algebra is either an inner automorphism, or an inner anti-automorphism, or it is of a very special degenerate form.
Molnár, Lajos
core  

Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras

open access: yesJournal of Mathematics
In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized.
Yuqiu Sheng, Wende Liu, Yang Liu
doaj   +1 more source

Non-orientable automorphisms of Riemann surfaces

open access: yes, 1985
We study cyclic groups of automorphisms of Riemann surfaces that contain non-orientable elements. We obtain conditions for such a group, and calculate the minimum possible genus of the surface on which it acts. As a consequence of these results we obtain
Etayo Gordejuela, José Javier
core   +1 more source

The conjugacy problem for $\operatorname {Out}(F_3)$

open access: yesForum of Mathematics, Sigma
We present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani   +3 more
doaj   +1 more source

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