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Higher group Weyl symmetry

open access: yesPhysics Letters B
We study a higher group analog of the Weyl symmetry in four-dimensional quantum field theories. A typical example is that the modified transformation of the 2-form background gauge field replaces the operator-valued Weyl anomaly associated with gauging ...
Yu Nakayama
doaj   +4 more sources

Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation

open access: yesMathematics, 2022
The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann–Liouville fractional derivatives. All point symmetry groups and the corresponding optimal subgroups are determined.
Tianhang Gong, Wei Feng, Songlin Zhao
doaj   +1 more source

Lie Symmetry Group, Invariant Subspace, and Conservation Law for the Time-Fractional Derivative Nonlinear Schrödinger Equation

open access: yesMathematics, 2022
In this paper, a time-fractional derivative nonlinear Schrödinger equation involving the Riemann–Liouville fractional derivative is investigated. We first perform a Lie symmetry analysis of this equation, and then derive the reduced equations under the ...
Fan Qin, Wei Feng, Songlin Zhao
doaj   +1 more source

Symmetries, Group Actions, and Entanglement [PDF]

open access: yesOpen Systems & Information Dynamics, 2006
We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density states and canonical group actions on it. For quantum composite systems we discuss and give examples of entanglement measures.
Janusz Grabowski   +2 more
openaire   +3 more sources

Holonomy groups andW-symmetries [PDF]

open access: yesCommunications in Mathematical Physics, 1993
Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions.
Howe, P. S., Papadopoulos, G.
openaire   +3 more sources

Structure of symmetry group of some composite links and some applications

open access: yesApplied General Topology, 2020
In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized
Yang Liu
doaj   +1 more source

The Basis Invariant of Generalized n-Cube Symmetries Group with Odd Degrees

open access: yesMathematics, 2021
The basis polynomial invariants with even degrees relatively to the symmetries group were described in cited literature. Here, the polynomial invariants with odd degrees are constructed.
Marina Bershadsky, Božidar Ivanković
doaj   +1 more source

Symmetry induced group consensus [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2019
There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept of group consensus whereby subsets of nodes are chosen to reach a common final state distinct from others has been
Isaac Klickstein   +2 more
openaire   +3 more sources

Application of a permutation group on sasirangan pattern

open access: yesDesimal, 2021
A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati   +3 more
doaj   +1 more source

A computational group theoretic symmetry reduction package for the SPIN model checker [PDF]

open access: yes, 2006
Symmetry reduced model checking is hindered by two problems: how to identify state space symmetry when systems are not fully symmetric, and how to determine equivalence of states during search.
Miller, A   +6 more
core   +1 more source

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