Keywords: 17C65; 22E65; 46B40; 46H70; Jordan algebra; Symmetric cone; Order-unit space; Banach Lie group; Banach Lie algebra;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 58E20; 53C43; secondary; 22E65; 22E25; Lie group; Harmonic map; Generalized Weierstrass type representation; Solvable Lie groups;
Keywords: 53C29; 53B40; 58D05; 22E65; 17B66Holonomy; Finsler geometry; Groups of diffeomorphisms; Infinite-dimensional Lie groups; Lie algebras of vector fields
Fiber-wise linear Poisson structures related to Wâ-algebras
Keywords: 47C15; 22A22; 22E65; 58B25; 58H05; Banach-Lie groupoids; Banach-Lie algebroids; Wâ-algebra; Symplectic groupoids; VB-groupoids;
Completeness of locally kÏ-groups and related infinite-dimensional Lie groups
Keywords: primary; 22E65; 22A05; 46A13; 46M40; 58D05; Infinite-dimensional Lie group; Silva space; (DFS)-space; Hemicompact space; Compactly generated space; Direct limit; Completeness;
Nonlinear d'Alembert formula for discrete pseudospherical surfaces
Keywords: primary; 53A10; secondary; 53F07; 22E65; Discrete differential geometry; Pseudospherical surface; Loop groups; Integrable systems;
(Re)constructing Lie groupoids from their bisections and applications to prequantisation
Keywords: primary; 58H05; secondary; 22E65; 46T10; 58D19; 58D05; 57T20; Global analysis; Lie groupoid; Infinite-dimensional Lie group; Mapping space; Bisection; Prequantisation; Homotopy groups of diffeomorphism groups;
Banach-Lie algebroids associated to the groupoid of partially invertible elements of a Wâ-algebra
Keywords: 47C15; 22A22; 22E65; 58B25; 58H05; Banach Lie groupoids; Banach Lie algebroids; Wâ-algebra;
Discrete approximations for complex Kac-Moody groups
Keywords: 57T99; 20E42; 51E24; 22E65; Classifying spaces; Kac-Moody groups; Homotopical group theory; Root group data systems;
Oscillator algebras with semi-equicontinuous coadjoint orbits
Keywords: 22E45; 22E65; Infinite dimensional Lie group; Semibounded representation; Oscillator group; Coadjoint orbit; Complex structure;
The general caloron correspondence
Keywords: 55R10; 55R91; 22E65; 22E67Caloron correspondence; Infinite-dimensional bundles; Gauge groups
Equivalent forms of multi component Toda hierarchies
Keywords: 22E65; 35Q58; 37K10; 58B25Lower and upper triangular Z×ZZ×Z-matrices; Infinite dimensional Cauchy problem; Lax equations; Zero curvature form; Bilinear form
Reprint of: Equivalent forms of multi component Toda hierarchies
Keywords: 22E65; 35Q58; 37K10; 58B25Lower and upper triangular Z×ZZ×Z-matrices; Infinite dimensional Cauchy problem; Lax equations; Zero curvature form; Bilinear form
Geometry of infinite dimensional Grassmannians and the Mickelsson–Rajeev cocycle
Keywords: 22E65; 53C05Infinite dimensional Grassmannians; Regularized determinant line bundles; Schatten ideals; Lie algebra cocycle
The group of unimodular automorphisms of a principal bundle and the Euler-Yang-Mills equations
Keywords: 22E65; 37K65; 53C80; 70S15; 76W05; Unimodular automorphism; Automorphism group; Euler equations; Euler-Yang-Mills equations; Group extension;
Projective unitary representations of smooth Deligne cohomology groups
Keywords: 22A25; 14F43; 22E65; 58B25Smooth Deligne cohomology; Infinite-dimensional representation pp-form gauge theory; Gerbe
New infinite-dimensional multiple-symmetry groups for the Einstein–Maxwell-dilaton–axion theory
Keywords: Strings and superstrings; Lie groups and Lie (super)algebras; Classical integrable systems83E30; 22E65; 22E70; 17B80Einstein–Maxwell-dilaton–axion theory; Extended double-complex method; Riemann–Hilbert transformation; Infinite-dimensional multiple-symmet
The path group construction of Lie group extensions
Keywords: 22E65; 81R10; 58D05Central extension; Path group; Current group
On the normalizers of subalgebras in an infinite Lie algebra
Keywords: 22E65; 58G35Lie symmetry algebra; Normalizer; Optimal system of subalgebras; Differential equations
On transitive Lie bialgebroids and Poisson groupoids
Keywords: primary; 58F05; secondary; 17B66; 22E65; Lie bialgebroid; Poisson groupoid; Cohomology;
Evolution of conformal maps with quasiconformal extensions
Keywords: primary; 30C35; 22E65; 30C62; 30F60; 76D27; secondary; 17B65; 35Q35; 35F25; 30D05; Universal Teichmüller space; Homogeneous Banach space; Lie group; Free boundary problem; Conformal map; Löwner equation; Evolution equation;
Geometric crystals on Schubert varieties
Keywords: 17B37; 17B67; 22E65; 14M15; Kac-Moody groups; Geometric crystals; Schubert varieties; Crystals; Ultra-discretization; Tropicalization;
Quasiregular representations of the infinite-dimensional Borel group
Keywords: 22E65; 28C20; 43A80; 58D20; Infinite-dimensional groups; Borel group; Regular representations; Quasiregular (geometric) representations; Irreducibility; Quasi-invariant measures; Ergodic measures; Ismagilov conjecture; Solvable group;