Results 101 to 110 of about 4,317 (227)

Nilpotent orbits and the Coulomb branch of T σ (G) theories: special orthogonal vs orthogonal gauge group factors

open access: yesJournal of High Energy Physics, 2017
Coulomb branches of a set of 3d N $$ \mathcal{N} $$ = 4 supersymmetric gauge theories are closures of nilpotent orbits of the algebra son $$ \mathfrak{so}(n) $$.
Santiago Cabrera   +2 more
doaj   +1 more source

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

open access: yes, 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  

ON CO-HOPFIAN NILPOTENT GROUPS [PDF]

open access: yesBulletin of the London Mathematical Society, 2003
We characterize co-Hopfian finitely generated torsion free nilpotent groups in terms of their Lie algebra automorphisms, and construct many examples of such groups.
openaire   +4 more sources

On the Mislin genus of certain circle bundles and noncancellation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
In an earlier paper, the authors proved that a process described much earlier for passing from a finitely generated nilpotent group N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢(N)≅𝒢(X).
Peter Hilton, Dirk Scevenels
doaj   +1 more source

The free lattice-ordered group over a nilpotent group

open access: yes, 1991
We show that the free lattice-ordered group over a finitely generated torsionfree nilpotent group is l l -solvable of some finite rank.
Michael R. Darnel
core   +1 more source

Partially S-embedded minimal subgroups of finite groups [PDF]

open access: yesInternational Journal of Group Theory, 2013
Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes with every Sylow subgroup of G. If HP=PH hold for every Sylow subgroup P of G with (|P|, |H|)=1), then H is called an s-semipermutable subgroup of G.
Tao Zhao, Qingliang Zhang
doaj  

Quiver theories and formulae for Slodowy slices of classical algebras

open access: yesNuclear Physics B, 2019
We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera   +2 more
doaj   +1 more source

Applications of Lie methods to computations with polycyclic groups

open access: yes, 2008
In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core  

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]

open access: yesInternational Journal of Group Theory, 2014
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
doaj  

Commutators associated with Schrödinger operators on the nilpotent Lie group

open access: yesJournal of Inequalities and Applications, 2017
Assume that G is a nilpotent Lie group. Denote by L = − Δ + W $L=-\Delta +W $ the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class B q 1 $B_{q_{1}}$ for some q 1 ≥ D 2 $q_{1} \geq ...
Tianzhen Ni, Yu Liu
doaj   +1 more source

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