scientific article
From MaRDI portal
Publication:3671396
zbMath0521.22006MaRDI QIDQ3671396
D. P. Zhelobenko, Alexander I. Shtern
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of real Lie groups (22E15) Research exposition (monographs, survey articles) pertaining to topological groups (22-02)
Related Items
The Gelfand–Tsetlin basis for infinite-dimensional representations of gln(C) ⋮ Tilting, deformations and representations of linear groups over Euclidean algebras ⋮ Structure of standard homogeneous Einstein manifolds with simple isotropy group. I ⋮ Representations of Lie algebras of step matrices ⋮ Duality of algebras with an involution and generalized shift operators ⋮ Exceptional Jordan pairs ⋮ Complex projective geometry and quantum projective field theory ⋮ Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I ⋮ On linear homogeneous hypersurfaces in \(\mathbb{R}^4\) ⋮ Generalization of the Bargmann-Wigner construction for infinite-spin fields ⋮ Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups ⋮ Tensor products of unitary representations of \(SL_ 3({\mathbb{R}})\) ⋮ On \(\mathrm{SO}(3,3)\) as the projective group of the space \(\mathrm{SO}(3)\) ⋮ Representations of parabolic subgroups of the symplectic group ⋮ Quantizations of compact Lie group actions ⋮ Affine homogeneity of indefinite real hypersurfaces in the space \(\mathbb C^{3}\) ⋮ Lax operator algebras of type \(G_{2}\) ⋮ Affine symmetry in mechanics of collective and internal modes II: Quantum models ⋮ Factorization of the \(R\)-matrix for the quantum algebra \({U_q(s\ell_n)}\) ⋮ Non-unitary representations of nilpotent groups. I: Cohomologies, extensions and neutral cocycles ⋮ Quantum conformal mechanics emerging from unitary representations of \(\mathrm{SL}(2,\mathbb R)\) ⋮ Representations of nilpotent groups on spaces with indefinite metric ⋮ Symmetry algebras of linear differential equations ⋮ Representations of Lie groups and multidimensional special functions ⋮ Particle dynamics on hyperboloid and unitary representation of \(\text{SO}(1,N)\) group. ⋮ Massless particle in 2d spacetime with constant curvature ⋮ Quasiregular representations of the infinite-dimensional Borel group ⋮ Geometry of \(2\)d spacetime and quantization of particle dynamics ⋮ The spaces of curvature tensors for holonomy algebras of Lorentzian manifolds ⋮ Noncompact Heisenberg spin magnets from high-energy QCD. II: Quantization conditions and energy spectrum ⋮ Bourgin--Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property ⋮ Affine symmetry in mechanics of collective and internal modes. I: Classical models ⋮ Quasiregular representations of the infinite-dimensional nilpotent group ⋮ Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables ⋮ Invariant subspaces of some functional spaces on the group of motions of the Euclidean plane ⋮ Quantization as group extension ⋮ Symmetries of flat rank two distributions and sub-Riemannian structures ⋮ The scalar curvature functional and homogeneous Einsteinian metrics on Lie groups ⋮ Completeness of states of the generalized Heisenberg magnet ⋮ Algebra of functions on the quantum group SU(2) ⋮ Noncompact Heisenberg spin magnets from high-energy QCD. III: Quasiclassical approach ⋮ Representations of zigzag shaped lattice semigroups ⋮ Maslov's canonical operator in abstract spaces ⋮ Topics in isotopic pairs and their representations. II: The general supercase ⋮ Gaudin magnet and off-mass-shell Bethe wave functions ⋮ Local symmetries of massless wave equations ⋮ \(K\) orbits, harmonic analysis, and equations integrable in a four-dimensional Lie group ⋮ Poly-Hamiltonian dynamic systems and turbulence ⋮ Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3) ⋮ Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections