Results 91 to 100 of about 96,933 (288)
Journal of Commutative Algebra, 2010 International ...
Ripoll, Olivier, Sebag, Julien
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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
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Bulletin of the London Mathematical Society, EarlyView.Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale +2 more
wiley +1 more source
On the geometry of free nilpotent groups [PDF]
arXiv, 2021 In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank $r$ and class $k$ by analyzing their behavior on the ...
arxiv
Component action of nilpotent multiplet coupled to matter in 4 dimensional N=1$$ \mathcal{N}=1 $$ supergravity [PDF]
, 2015 A bstractWe construct the component action of the system including an ordinary matter and a nilpotent multiplet in global and local supersymmetric framework.
F. Hasegawa, Y. Yamada
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Glasgow Mathematical Journal, 2019 AbstarctLetγn= [x1,…,xn] be thenth lower central word. Denote byXnthe set ofγn-values in a groupGand suppose that there is a numbermsuch that$|{g^{{X_n}}}| \le m$for eachg∈G. We prove thatγn+1(G)has finite (m, n) -bounded order. This generalizes the much-celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite.
ELOISA DETOMI +3 more
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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
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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.
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A Jordan–Chevalley decomposition beyond algebraic groups
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
wiley +1 more source
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
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