Results 21 to 30 of about 24,212 (190)

Unimodular vs nilpotent superfield approach to pure dS supergravity

open access: yesJournal of High Energy Physics, 2021
Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter supergravity.
Sukruti Bansal   +3 more
doaj   +1 more source

Higgs in nilpotent supergravity: Vacuum energy and Festina Lente

open access: yesPhysics Letters B, 2023
In this note we study supergravity models with constrained superfields. We construct a supergravity framework in which all (super)symmetry breaking dynamics happen in vacuum with naturally (or otherwise asymptotically) vanishing energy.
Amineh Mohseni, Mahdi Torabian
doaj   +1 more source

Applying Group Theory Philosophy to Leibniz Algebras: Some New Developments [PDF]

open access: yesAdvances in Group Theory and Applications, 2020
This survey is an attempt of describing of main contours of a recently developing general theory of Leibniz Algebras. This theory based on the employing of methods and approaches which are proved to be exceedingly effective in infinite group theory.
Leonid A. Kurdachenko   +2 more
doaj   +1 more source

Compact groups with countable Engel sinks

open access: yesBulletin of Mathematical Sciences, 2021
An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
doaj   +1 more source

N-topo nilpotency in fuzzy neighborhood rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results.
T. M. G. Ahsanullah, Fawzi Al-Thukair
doaj   +1 more source

Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]

open access: yesInternational Journal of Group Theory, 2012
We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
doaj  

Locally Nilpotent Sets of Derivations [PDF]

open access: yes, 2020
Let B be an algebra over a field k and let Der(B) be the set of k-derivations from B to B. We define what it means for a subset of Der(B) to be a locally nilpotent set. We prove some basic results about that notion and explore the following questions. Let L be a Lie subalgebra of Der(B); if every element of L is a locally nilpotent derivation then does
openaire   +2 more sources

Flexible varieties and automorphism groups [PDF]

open access: yes, 2012
Given an affine algebraic variety X of dimension at least 2, we let SAut (X) denote the special automorphism group of X i.e., the subgroup of the full automorphism group Aut (X) generated by all one-parameter unipotent subgroups. We show that if SAut (X)
Arzhantsev, I.   +4 more
core   +2 more sources

Nilpotent Lie algebras of derivations with the center of small corank

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi   +2 more
doaj   +1 more source

Nilpotent symmetries as a mechanism for Grand Unification

open access: yesJournal of High Energy Physics, 2021
In the classic Coleman-Mandula no-go theorem which prohibits the unification of internal and spacetime symmetries, the assumption of the existence of a positive definite invariant scalar product on the Lie algebra of the internal group is essential.
Lars Andersson   +2 more
doaj   +1 more source

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