Results 1 to 10 of about 816 (210)

Separating invariants for certain representations of the elementary Abelian p-groups of rank two

open access: goldAIMS Mathematics
For a finite group acting linearly on a vector space, a separating set is a subset of the invariant ring that separates the orbits. In this paper, we determined explicit separating sets in the corresponding rings of invariants for four families of finite
Panpan Jia , Jizhu Nan, Yongsheng Ma
doaj   +2 more sources

Maximal abelian subgroups of the finite symmetric group [PDF]

open access: yesInternational Journal of Group Theory, 2021
‎Let $G$ be a group‎. ‎For an element $a\in G$‎, ‎denote by $\cs(a)$ the second centralizer of~$a$ in~$G$‎, ‎which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$‎.
Janusz Konieczny
doaj   +1 more source

New models for some free algebras of small ranks

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
doaj   +1 more source

Dieudonné theory via cohomology of classifying stacks

open access: yesForum of Mathematics, Sigma, 2021
We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj   +1 more source

Exploring Seiberg-like dualities with eight supercharges

open access: yesJournal of High Energy Physics, 2023
We propose a family of IR dualities for 3d N $$ \mathcal{N} $$ = 4 U(N) SQCD with N f fundamental flavors and P Abelian hypermultiplets i.e. P hypermultiplets in the determinant representation of the gauge group.
Anindya Dey
doaj   +1 more source

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

open access: yesPhysical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj   +1 more source

Tadpoles and gauge symmetries

open access: yesJournal of High Energy Physics, 2023
The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge symmetries.
Andreas P. Braun   +4 more
doaj   +1 more source

ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS

open access: yesUral Mathematical Journal, 2022
In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
doaj   +1 more source

On the LHC signatures of $$SU(5)\times U(1)'$$ S U ( 5 ) × U ( 1 ) ′ F-theory motivated models

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We study low energy implications of F-theory GUT models based on SU(5) extended by a $$U(1)'$$ U ( 1 ) ′ symmetry which couples non-universally to the three families of quarks and leptons.
A. Karozas   +3 more
doaj   +1 more source

Elekes-Szabó for groups, and approximate subgroups in weak general position

open access: yesDiscrete Analysis, 2023
Elekes-Szabó for groups, and approximate subgroups in weak general position, Discrete Analysis 2023:6, 28 pp. An important theorem of Elekes and Szabó shows that given an algebraic relation between triples of complex numbers (such as e.g.
Martin Bays   +2 more
doaj   +1 more source

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