The Group of Isometries of a Left Invariant Riemannian Metric on a Lie Group.
The group of L²-isometries on H¹₀
Let Ω be an open subset of ℝⁿ. Let L² = L²(Ω,dx) and H¹₀ = H¹₀(Ω) be the standard Lebesgue and Sobolev spaces of complex-valued functions. The aim of this paper is to study the group of invertible operators on H¹₀ which preserve the L²-inner product. When Ω is bounded and ∂Ω is smooth, this group acts as the intertwiner of the H¹₀ solutions of the non-homogeneous Helmholtz equation u - Δu = f, . We show that is a real Banach-Lie group, whose Lie algebra is (i times) the space of symmetrizable operators....
The group of -adic integers.
The groups of the semigroup of compact subsets of a topological group.
The heat kernel on Lie groups.
The height function on the 2-dimensional cohomology of a flag manifold.
The Heisenberg group and the group Fourier transform of regular homogeneous distributions
The Helgason-Fourier transform for symmetric spaces. II.
The higher transvectants are redundant
Let denote generic binary forms, and let denote their -th transvectant in the sense of classical invariant theory. In this paper we classify all the quadratic syzygies between the . As a consequence, we show that each of the higher transvectants is redundant in the sense that it can be completely recovered from and . This result can be geometrically interpreted in terms of the incomplete Segre imbedding. The calculations rely upon the Cauchy exact sequence of -representations, and the...
The Hochschild cohomology ring of regular maximal primitive quotients of enveloping algebras of semisimple Lie algebras
The holomorphic automorphism group of the complex disk.
The Holomorphic or Anti-Holomorphic Character of Harmonic Maps into Irreducible Compact Quotients of Polydiscs.
The hyperKähler geometry associated to Wolf spaces
Sia un grupo di Lie compatto e semplice. Sia la più piccola orbita nilpotente non-banale nell'algebra di Lie complessa . Si presenta una costruzione diretta di teoria di Lie delle metriche iperKahler su con potenziale Kahleriano -invariante e compatibili con la forma simplettica complessa di Kostant-Kirillov-Souriau. In particolare si ottengono le metriche iperKahler dei fibrati associati sugli spazi di Wolf (spazi simmetrici quaternionali a curvatura scalare positiva).
The ideal structure of XX.
The Image of the Enveloping Algebra and Irreducibility of Induced Representations of Exponential Lie Groups.
The infinite Brownian loop on a symmetric space.
The Injection and the Protection Theorem for Spectral Sets
The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group
An embedding X ⊂ G of a topological space X into a topological group G is called functorial if every homeomorphism of X extends to a continuous group homomorphism of G. It is shown that the interval [0, 1] admits no functorial embedding into a finite-dimensional or metrizable topological group.
The invariant holonomic system on a semisimple Lie algebra.
The irreducibility of restrictions of unitary representations of lattices.