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The algebraic classification of nilpotent Tortkara algebras [PDF]
We classify all complex 6-dimensional nilpotent Tortkara algebras.
I. Gorshkov+2 more
semanticscholar +1 more source
de Sitter Vacua with a Nilpotent Superfield [PDF]
We study the arguments given in [ ] which suggest that the uplifting procedure in the KKLT construction is not valid. First we show that the modification of the SUSY breaking sector of the nilpotent superfield, as proposed in [ ], is not consistent with ...
R. Kallosh+3 more
semanticscholar +1 more source
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
doaj +1 more source
Cluster algebra structures on Poisson nilpotent algebras [PDF]
Various coordinate rings of varieties appearing in the theory of Poisson Lie groups and Poisson homogeneous spaces belong to the large, axiomatically defined class of symmetric Poisson nilpotent algebras, e.g.
K. Goodearl, M. Yakimov
semanticscholar +1 more source
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 $n-2$.
openaire +3 more sources
Multipliers of nilpotent Lie superalgebras [PDF]
In this article, first we prove that all finite dimensional special Heisenberg Lie superalgebras with even center have dimension for some non-negative integers m, n and are isomorphic to H(m, n).
Saudamini Nayak
semanticscholar +1 more source
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
core +4 more sources
On Nilpotency and Asymptotic Nilpotency of Cellular Automata [PDF]
We prove a conjecture of P. Guillon and G. Richard by showing that cellular automata that eventually fix all cells to a fixed symbol 0 are nilpotent on S^Z^d for all d. We also briefly discuss nilpotency on other subshifts, and show that weak nilpotency implies nilpotency in all subshifts and all dimensions, since we do not know a published reference ...
openaire +6 more sources
On groups covered by locally nilpotent subgroups [PDF]
Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa+2 more
core +1 more source
Polynomial sequences in discrete nilpotent groups of step 2
We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D.+3 more
doaj +1 more source