Results 11 to 20 of about 2,837 (210)

Universal Racah matrices and adjoint knot polynomials: Arborescent knots

Physics Letters B, 2016
By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
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Adjoint modular Galois representations and their Selmer groups [PDF]

Proceedings of the National Academy of Sciences, 1997
In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ. We start with the p -adic Galois representation φ 0
Hida, Haruzo, Tilouine, Jacques, Urban, Eric   +2 more
openaire   +2 more sources

A 6D nonabelian (1, 0) theory

Journal of High Energy Physics, 2018
We construct a 6D nonabelian N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ theory by coupling an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ tensor multiplet to an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ hypermultiplet.
Fa-Min Chen
doaj   +1 more source

Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]

AUT Journal of Mathematics and Computing
The Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
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Transformation groups resembling the adjoint representation [PDF]

Proceedings of the American Mathematical Society, 1975
If G G is a compact, connected Lie group, the isotropy subgroups of the adjoint representation of G G are connected and the dimension of the fixed point set of a maximal torus of G G is equal to the the rank of G G . Results similar to these are given when G G acts
openaire   +2 more sources

Approximate symmetries of the perturbed KdV-KS equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The analysis of approximate symmetries in perturbed nonlinear partial differential equations $(PDEs)$ stands as a cornerstone for unraveling  complex physical behaviors and solution patterns.
A. Mohammadpouri, M.S. Hashemi, R. Abbasi, R. Abbasi   +3 more
doaj   +1 more source

A Category for the Adjoint Representation

Journal of Algebra, 2001
We construct an abelian category C and exact functors in C which on the Grothendieck group descend to the action of a simply-laced quantum group in its adjoint representation. The braid group action in the adjoint representation lifts to an action in the derived category of C.
Huerfano, Ruth Stella, Khovanov, Mikhail
openaire   +4 more sources

Asymptotic formulas for a scalar linear delay differential equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound.
István Győri, Mihály Pituk
doaj   +1 more source

Evenly positive definite function of Hilbert space and some algebraic relationship

Математичні Студії, 2021
A generalization of P. A. Minlos, V. V. Sazonov’s theorem is proved in the case of bounded evenly positive definite function given in a Hilbert space.
O. V. Lopotko
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Co-Adjoint representation and controllability

Proyecciones (Antofagasta), 2018
Let ? an invariant control system over Lie group G The existence of a nontrivial simplectic orbit of G is analysed, so that the Hamiltonian system equivalent to ? via the co-adjoint representation, has a vector called simplectic. This allows the construction of a strictly increasing function over the positive trajectories of ?, determining sufficient ...
Víctor Ayala, Luis B. Vergara
openaire   +1 more source