Results 61 to 70 of about 375 (165)

Optimal Subgroups and Applications to Nilpotent Elements [PDF]

open access: yesTransformation Groups, 2008
Let G be a reductive group acting on an affine variety X, let x in X be a point whose G-orbit is not closed, and let S be a G-stable closed subvariety of X which meets the closure of the G-orbit of x but does not contain x. In this paper, we study G.R.
openaire   +3 more sources

Hermitian Characteristics Of Nilpotent Elements [PDF]

open access: yes, 2004
We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire   +1 more source

Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces

open access: yesAbstract and Applied Analysis, 2016
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
doaj   +1 more source

Rings in Which Every Quasi-nilpotent Element is Nilpotent

open access: yesTurkish Journal of Mathematics and Computer Science
A ring \( R \) is called a QN-ring if \( R \) satisfies the equation \( Q(R) = N(R) \). In this paper, we present some fundamental properties of the class of QN-rings. It is shown that for \( R \) being a 2-primal (nil-semicommutative) ring, \( R \) is a QN-ring if and only if \( Q(R) \) is a nil ideal; if \( R \) is a QN-ring, then \( R/J(R) \) is
openaire   +2 more sources

Nilpotent elements in Grothendieck rings

open access: yesIllinois Journal of Mathematics, 1988
Let \(M_ 1,...,M_ n\) be isomorphism classes of finitely presented modules over a commutative ring R. One forms the ring \({\mathbb{Z}}[M_ 1,...,M_ n]\) with \(\oplus\) and \(\otimes\) as addition and multiplication, and with the obvious relations. It is shown that if M and N are locally isomorphic, then there is an integer n, depending on M, N and R ...
openaire   +3 more sources

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Nilpotent elements in group rings

open access: yesManuscripta Mathematica, 1975
The main theorem gives necessary and sufficient conditions for the rational group algebra QG to be without (nonzero) nilpotent elements if G is a nilpotent or F·C group. For finite groups G, a characterisation of group rings RG over a commutative ring with the same property is given.
openaire   +1 more source

Hermitian Characteristics of Nilpotent Elements

open access: yes, 2002
We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire   +2 more sources

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