EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 301 – 320 of 412

Seeable matter; unseeable antimatter

Geoffrey Dixon (2014)

Commentationes Mathematicae Universitatis Carolinae

The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra $𝐓 : = 𝐂 \otimes 𝐇 \otimes 𝐎$ , an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter—at the very least.

Semibounded Unitary Representations of Double Extensions of Hilbert–Loop Groups

K. H. Neeb (2014)

Annales de l’institut Fourier

A unitary representation $π$ of a, possibly infinite dimensional, Lie group $G$ is called semibounded if the corresponding operators $i d π (x)$ from the derived representation are uniformly bounded from above on some non-empty open subset of the Lie algebra $𝔤$ of $G$ . We classify all irreducible semibounded representations of the groups ${\hat{ℒ}}_{φ} (K)$ which are double extensions of the twisted loop group $ℒ_{φ} (K)$ , where $K$ is a simple Hilbert–Lie group (in the sense that the scalar product on its Lie algebra is invariant) and $φ$ is...

Semiclassical scattering by the Coulomb potential

Armin Kargol (1999)

Annales de l'I.H.P. Physique théorique

Semi-infinite cohomology and superconformal algebras

Elena Poletaeva (2001)

Annales de l’institut Fourier

We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a non-degenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, which is analogous to the classical structure of the de Rham cohomology in Kähler...

Semilinear relations and *-representations of deformations of so(3)

Yuriĭ Samoĭlenko, Lyudmila Turowska (1997)

Banach Center Publications

We study a family of commuting selfadjoint operators $= {(A_{k})}_{k = 1}^{n}$ , which satisfy, together with the operators of the family $= {(B_{j})}_{j = 1}^{n}$ , semilinear relations $⅀_{i} f_{i j} () B_{j} g_{i j} () = h ()$ , ( $f_{i j}$ , $g_{i j}$ , $h_{j} : ℝ^{n} \to ℂ$ are fixed Borel functions). The developed technique is used to investigate representations of deformations of the universal enveloping algebra U(so(3)), in particular, of some real forms of the Fairlie algebra $U_{q}^{'} (s o (3))$ .

Separation of variables in the quantum integrable models related to the Yangian $𝒴 [\geq r m s l (3)]$

Е.К. Склянин (1993)

Zapiski naucnych seminarov POMI

Shuffle bialgebras

María Ronco (2011)

Annales de l’institut Fourier

The goal of our work is to study the spaces of primitive elements of some combinatorial Hopf algebras, whose underlying vector spaces admit linear basis labelled by subsets of the set of maps between finite sets. In order to deal with these objects we introduce the notion of shuffle algebras, which are coloured algebras where composition is not always defined. We define bialgebras in this framework and compute the subpaces of primitive elements associated to them. These spaces of primitive elements...

Singular Bohr–Sommerfeld rules for 2D integrable systems

Yves Colin de Verdière, San Vũ Ngọc (2003)

Annales scientifiques de l'École Normale Supérieure

Singular eigenfunctions of Calogero-Sutherland type systems and how to transform them into regular ones.

Langmann, Edwin (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

$sl (3)$ link homology.

Khovanov, Mikhail (2004)

Algebraic & Geometric Topology

Smallness problem for quantum affine algebras and quiver varieties

David Hernandez (2008)

Annales scientifiques de l'École Normale Supérieure

The geometric small property (Borho-MacPherson [2]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [37, 35] for certain resolutions of quiver varieties [37] (analogs of the Springer resolution): for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we characterize explicitly the Drinfeld polynomials corresponding to the small resolutions. We use an elimination...

Snyder space-time: K-loop and Lie triple system.

Girelli, Florian (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Solvable lattice model and representation theory of quantum affine algebras.

Miwa, Tetsuji (1998)

Documenta Mathematica

Some remarks on quantum and braided group gauge theory

Shahn Majid (1997)

Banach Center Publications

We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzeziński and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. The bosonisation of any braided group provides us a trivial principal bundle in three ways.

Spacelike singularities and hidden symmetries of gravity.

Henneaux, Marc, Spindel, Philippe, Persson, Daniel (2008)

Living Reviews in Relativity [electronic only]

Spectrum generating functions for oscillators in Wigner's quantization

Stijn Lievens, Joris Van der Jeugt (2011)

Banach Center Publications

The n-dimensional (isotropic and non-isotropic) harmonic oscillator is studied as a Wigner quantum system. In particular, we focus on the energy spectrum of such systems. We show how to solve the compatibility conditions in terms of 𝔬𝔰𝔭(1|2n) generators, and also recall the solution in terms of 𝔤𝔩(1|n) generators. A method is described for determining a spectrum generating function for an element of the Cartan subalgebra when working with a representation of any Lie (super)algebra. Here, the...

Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group

S. T. Ali, J.-P. Antoine, J.-P. Gazeau (1991)

Annales de l'I.H.P. Physique théorique

Currently displaying 301 – 320 of 412

Previous Page 16 Next

Displaying 301 – 320 of 412

Seeable matter; unseeable antimatter

Semibounded Unitary Representations of Double Extensions of Hilbert–Loop Groups

Semiclassical scattering by the Coulomb potential

Semi-infinite cohomology and superconformal algebras

Semilinear relations and *-representations of deformations of so(3)

Separation of variables in the quantum integrable models related to the Yangian $𝒴 [\geq r m s l (3)]$

Shuffle bialgebras

Singular Bohr–Sommerfeld rules for 2D integrable systems

Singular eigenfunctions of Calogero-Sutherland type systems and how to transform them into regular ones.

$sl (3)$ link homology.

Smallness problem for quantum affine algebras and quiver varieties

Snyder space-time: K-loop and Lie triple system.

Solvable lattice model and representation theory of quantum affine algebras.

Some remarks on quantum and braided group gauge theory

Spacelike singularities and hidden symmetries of gravity.

Spectrum generating functions for oscillators in Wigner's quantization

Spin chain connected to the quantum superalgebra ${sl}_{q} (1 | 1)$ .

Spinor types in infinite dimensions.

Spontaneously broken symmetries

Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group

Currently displaying 301 – 320 of 412