A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra
Mathematics, 2020 This article is devoted to some polar properties of quadrics in the projective Klingenberg spaces over a local ring which is a linear algebra generated by one nilpotent element.
Marek Jukl
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, EarlyView.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
wiley +1 more source
A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type [PDF]
, 2010 Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core
Central Subalgebras Of The Centralizer Of A Nilpotent Element [PDF]
Let G be a connected, semisimple algebraic group over a field k whose characteristic is very good for G. In a canonical manner, one associates to a nilpotent element X is an element of Lie(G) a parabolic subgroup P - in characteristic zero, P may be ...
Mcninch, George J., Testerman, Donna M.
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Zero divisors and nilpotent elements in power series rings [PDF]
, 1971 It is well known that a polynomial f ( X ) f(X) over a commutative ring R R with identity is nilpotent if and only if each coefficient of f ( X )
David E. Fields
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Hyperkähler metrics on the regular nilpotent adjoint orbit [PDF]
, 2020 This thesis studies the Kronheimer hyperkähler metric on the adjoint orbit of the classical Lie group SL_n (C) of a regular, nilpotent element in its Lie algebra sl_n(C).
Sonderegger, Oliver
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The NILPOTENT Characterization of the finite neutrosophic p-groups [PDF]
, 2022 A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive ...
Adebisi, S. A., Smarandache, Florentin
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Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points
Abstract and Applied Analysis, 2013 A class of polynomial differential systems with high-order nilpotent critical points are investigated in this paper. Those systems could be changed into systems with an element critical point.
Feng Li, Jianlong Qiu
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Quasi Centralizers and Inner Derivations in a Closed Ideal of a Complex Banach Algebra [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2004 In this paper we show that, for an ideal J of a unital complex Banach algebra A, we have (i) under certain conditions the ? -quasi centralizer, the quasi centralizer, and the centralizer of J are all identical, and so they are subsets of the ?
As'ad Y. As'ad
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