Results 11 to 20 of about 70,900 (224)

Ricci-flat and Einstein pseudoriemannian nilmanifolds

open access: yesComplex Manifolds, 2019
This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
doaj   +2 more sources

Nilpotence Varieties [PDF]

open access: yesAnnales Henri Poincaré, 2021
AbstractWe consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra.
Richard Eager   +2 more
openaire   +3 more sources

NILPOTENT SUBSPACES AND NILPOTENT ORBITS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2018
Let $G$ be a semisimple complex algebraic group with Lie algebra $\mathfrak{g}$. For a nilpotent $G$-orbit ${\mathcal{O}}\subset \mathfrak{g}$, let $d_{{\mathcal{O}}}$ denote the maximal dimension of a subspace $V\subset \mathfrak{g}$ that is contained in the closure of ${\mathcal{O}}$.
Dmitri I. Panyushev, Oksana Yakimova
openaire   +4 more sources

Nilpotency and strong nilpotency for finite semigroups [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2018
AbstractNilpotent semigroups in the sense of Mal’cev are defined by semigroup identities. Finite nilpotent semigroups constitute a pseudovariety, MN, which has finite rank. The semigroup identities that define nilpotent semigroups lead us to define strongly Mal’cev nilpotent semigroups.
Manfred Kufleitner   +2 more
openaire   +3 more sources

Homotopy colimits of nilpotent spaces [PDF]

open access: yes, 2014
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups.
Chacholski, Wojciech   +3 more
core   +2 more sources

On a result of nilpotent subgroups of solvable groups [PDF]

open access: yesInternational Journal of Group Theory, 2022
‎Heineken [‎H‎. ‎Heineken‎, ‎Nilpotent subgroups of finite soluble groups‎, Arch‎. ‎Math.(Basel)‎, ‎ 56 no‎. ‎5 (1991) 417--423‎.] studied the order of the nilpotent subgroups of the largest order of a solvable group‎.
Yong Yang
doaj   +1 more source

On the nilpotent commutator of a nilpotent matrix [PDF]

open access: yesLinear and Multilinear Algebra, 2012
We study the structure of the nilpotent commutator $\nb$ of a nilpotent matrix $B$. We show that $\nb$ intersects all nilpotent orbits for conjugation if and only if $B$ is a square--zero matrix. We describe nonempty intersections of $\nb$ with nilpotent orbits in the case the $n \times n$ matrix $B$ has rank $n-2$.
openaire   +3 more sources

Pieces of nilpotent cones for classical groups [PDF]

open access: yes, 2010
We compare orbits in the nilpotent cone of type $B_n$, that of type $C_n$, and Kato's exotic nilpotent cone. We prove that the number of $\F_q$-points in each nilpotent orbit of type $B_n$ or $C_n$ equals that in a corresponding union of orbits, called a
Achar, Pramod N.   +2 more
core   +4 more sources

On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]

open access: yesNeutrosophic Sets and Systems
The objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined
Abdallah Shihadeh   +4 more
doaj   +1 more source

Home - About - Disclaimer - Privacy