Results 121 to 130 of about 16,241 (233)
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
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On nilpotent filiform Lie algebras of dimension eight
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
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Metric properties of outer space
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
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Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras
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
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On Tensor Squares of Reducible Representations of Almost Simple Groups. II
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
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Classical R-Operators and Integrable Generalizations of Thirring Equations
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
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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
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Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
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
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Non-orientable automorphisms of Riemann surfaces
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
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The conjugacy problem for $\operatorname {Out}(F_3)$
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
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