Results 71 to 80 of about 75,899 (224)

On the geometry of nilpotent orbits [PDF]

Surveys in Differential Geometry, 1999
In this paper we obtain various results about the geometry of nilpotent orbits. In particular, we obtain a better understanding of the Kostant-Sekiguchi correspondence and Kronheimer's instanton flow. We utilize the moment map of Ness and the SL(2)-orbit theorem from Hodge theory.
Kari Vilonen, Wilfried Schmid
openaire   +5 more sources

The Probability That an Operator Is Nilpotent [PDF]

The American Mathematical Monthly, 2021
Choose a random linear operator on a vector space of finite cardinality N: then the probability that it is nilpotent is 1/N. This is a linear analogue of the fact that for a random self-map of a set of cardinality N, the probability that some iterate is constant is 1/N.
openaire   +4 more sources

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, EarlyView.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source

Nilpotent Representations

Journal of Algebra, 1997
AbstractThe Hesselink stratification is studied of the nullcone ofm-tuples ofn×nmatrices. An algorithm is given to determine for givenmandnthe non-empty strata. Further, connections with moduli spaces of quiver representations are given.
openaire   +2 more sources

Nilpotent derivations

Journal of Algebra, 2005
AbstractMotivated by Grzeszczuk's paper [P. Grzeszczuk, On nilpotent derivations of semiprime rings, J. Algebra 149 (1992) 313–321], we give a detailed analysis of nilpotent derivations of semiprime rings. With this, many known results can be either generalized or deduced.
Chuang, Chen-Lian, Lee, Tsiu-Kwen
openaire   +1 more source

Nilpotents in Finite Algebras [PDF]

Integral Equations and Operator Theory, 2003
We study the set of nilpotents \( t\,(t^{n} = 0) \) of a type \( II_{1} \) von Neumann algebra \( \mathcal{A} \) which verify that \( t^{n-1} + t^{\ast} \) is invertible. These are shown to be all similar in \( \mathcal{A} \). The set of all such operators, named by D.A.
Andruchow, Esteban, Stojanoff, Demetrio
openaire   +2 more sources

Finite p′-nilpotent groups. I

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in ...
S. Srinivasan
doaj   +1 more source

On some properties of the asymptotic Samuel function

Mathematische Nachrichten, Volume 298, Issue 7, Page 2401-2423, July 2025.
Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
wiley   +1 more source

Moduli of finite flat torsors over nodal curves

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley   +1 more source

Free nilpotent and nilpotent quadratic Lie algebras

Linear Algebra and its Applications, 2017
In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account this equivalence, t-nilpotent quadratic Lie algebras with d generators are classified (up to ...
P. Benito, D. de-la-Concepción, J. Laliena   +2 more
openaire   +3 more sources