Results 41 to 50 of about 277 (96)

Adjoint Representations of the Symmetric Group

, 2018
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
Can, Mahir Bilen, Jones, Miles
openaire   +2 more sources

On different approaches to IRF lattice models. Part II

Journal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin, Doron Gepner, J. Ramos Cabezas, Boris Runov   +3 more
doaj   +1 more source

When ancient numerical demons meet physics-informed machine learning: adjoint-based gradients for implicit differentiable modeling [PDF]

Hydrology and Earth System Sciences
Recent advances in differentiable modeling, a genre of physics-informed machine learning that trains neural networks (NNs) together with process-based equations, have shown promise in enhancing hydrological models' accuracy, interpretability, and ...
Y. Song, W. J. M. Knoben, M. P. Clark, D. Feng, D. Feng, K. Lawson, K. Sawadekar, C. Shen   +7 more
doaj   +1 more source

On conjugating representations and adjoint representations of semisimple groups

Inventiones Mathematicae, 1988
Let G be a reductive algebraic group over an algebraically closed field k and let G act (as k-algebra automorphisms) on a finitely generated k- algebra A. Suppose the algebra of invariants, \(C=A\) G, is a free polynomial k-algebra and that A is flat as a C-module.
openaire   +1 more source

Nonabelian fluids and helicities

Journal of High Energy Physics
In analogy with the non-Abelian gauge helicities conserved in time for “null fields”, that we have defined previously, in this paper we first define non-Abelian fluid helicities and then total non-Abelian helicities for combined non-Abelian fluid and ...
Horatiu Nastase, Jacob Sonnenschein
doaj   +1 more source

Electroweak gauge invariant Higgs multiplets

Journal of High Energy Physics
We investigate the potential of general Higgs multiplets. We establish the domain of general Higgs multiplets within the context of the adjoint representation.
M. Maniatis
doaj   +1 more source

Macdonald deformation of Vogel's universality and link hyperpolynomials

Physics Letters B
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters α,β,γ, which are homogeneous coordinates of Vogel's plane. Actually this is true (if at all) only for a
Liudmila Bishler, Andrei Mironov, Alexei Morozov   +2 more
doaj   +1 more source

Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal

International Journal of Mathematics and Mathematical Sciences, 2008
We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
doaj   +1 more source

A representative solution to m-order linear ordinary differential equation with nonlocal conditions by green's functional concept

Mathematical Modelling and Analysis, 2012
In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty

Advances in High Energy Physics, 2013
We find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation.
Pouria Pedram
doaj   +1 more source