Results 11 to 20 of about 70,900 (224)
Ricci-flat and Einstein pseudoriemannian nilmanifolds
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.
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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
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A nilpotent Lie algebra with nilpotent automorphism group [PDF]
Joan L. Dyer
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NILPOTENT SUBSPACES AND NILPOTENT ORBITS [PDF]
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
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Nilpotency and strong nilpotency for finite semigroups [PDF]
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
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Homotopy colimits of nilpotent spaces [PDF]
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
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On a result of nilpotent subgroups of solvable groups [PDF]
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
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On the nilpotent commutator of a nilpotent matrix [PDF]
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 $n-2$.
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Pieces of nilpotent cones for classical groups [PDF]
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
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On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]
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
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