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We use the properties of $M p (n)$ to construct functions $μ_{ℓ} : M p (n) \to Z_{8}$ associated with the elements $ℓ$ of the lagrangian grassmannian $Λ$ (n) which generalize the Maslov index on Mp(n) defined by J. Leray in his “Lagrangian Analysis”. We deduce from these constructions the identity between $M p (n)$ and a subset of $S p (n) \times Z_{8}$ , equipped with appropriate algebraic and topological structures.

Maß und Kategorie von Summenmengen.

Dietmar Kahnert (1973)

Mathematische Zeitschrift

Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $d i f f (S^{1})$ and $d i f f (𝐑)$

Edwin Beggs, Shahn Majid (1990)

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

Maticové Lieovy grupy a Lieovy algebry

Vojtěch Pravda (2007)

Pokroky matematiky, fyziky a astronomie

Matrix canonical realizations of the Lie algebra $o (m, n)$ . I. Basic formulæ and classification

M. Havlíček, P. Exner (1975)

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

Matrix coefficients and a Weyl correspondence for nilpotent Lie groups.

Niels Vigand Pedersen (1994)

Inventiones mathematicae

Matrix coefficients, counting and primes for orbits of geometrically finite groups

Amir Mohammadi, Hee Oh (2015)

Journal of the European Mathematical Society

Let $G : = SO {(n, 1)}^{\circ}$ and $Γ (n - 1) / 2$ for $n = 2, 3$ and when $δ > n - 2$ for $n \geq 4$ , we obtain an effective archimedean counting result for a discrete orbit of $Γ$ in a homogeneous space $H ∖ G$ where $H$ is the trivial group, a symmetric subgroup or a horospherical subgroup. More precisely, we show that for any effectively well-rounded family ${ℬ_{T} \subset H ∖ G}$ of compact subsets, there exists $η > 0$ such that $# [e] Γ \cap ℬ_{T} = ℳ (ℬ_{T}) + O (ℳ {(ℬ_{T})}^{1 - η})$ for an explicit measure $ℳ$ on $H ∖ G$ which depends on $Γ$ . We also apply the affine sieve and describe the distribution of almost primes on orbits of $Γ$ in arithmetic settings....

Matrix coefficients of irreducible representations of free products of groups

Ryszard Szwarc (1989)

Studia Mathematica

Matrix elements and highest weight Wigner coefficients of $G L (n, ℂ)$

W. H. Klink, T. Ton-That (1982)

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

Matrix entries of real representations of the groups $O (3)$ and $S O (3)$ .

Gordienko, V.M. (2002)

Sibirskij Matematicheskij Zhurnal

Matrix representations for low dimensional Lie algebras.

Ryad A. Ghanam, Igor Strugar, Gerard Thompson (2005)

Extracta Mathematicae

Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory

F. Alberto Grünbaum, Inés Pacharoni, Juan Alfredo Tirao (2005)

Annales de l’institut Fourier

The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group $S U (n)$ and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters $α, β > - 1$ , but it is derived only for those values that come from the group theoretical setup.

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Marches aléatoires sur les espaces homogènes

Marches aléatoires sur les espaces homogènes des groupes nilpotents connexes à génération compacte

Markov operators on the solvable Baumslag-Solitar groups.

Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.

Maslov indices on the metaplectic group $M p (n)$

Maß und Kategorie von Summenmengen.

Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $d i f f (S^{1})$ and $d i f f (𝐑)$

Maticové Lieovy grupy a Lieovy algebry

Matrix canonical realizations of the Lie algebra $o (m, n)$ . I. Basic formulæ and classification

Matrix coefficients and a Weyl correspondence for nilpotent Lie groups.

Matrix coefficients, counting and primes for orbits of geometrically finite groups

Matrix coefficients of irreducible representations of free products of groups

Matrix elements and highest weight Wigner coefficients of $G L (n, ℂ)$

Matrix entries of real representations of the groups $O (3)$ and $S O (3)$ .

Matrix representations for low dimensional Lie algebras.

Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory

Maximal convergences and minimal proper convergences in $ℓ$ -groups

Maximal degenerate representations of SL $(n + 1, H)$ .

Maximal estimates for nonsymmetric semigroups

Maximal functions related to subelliptic operators invariant under an action of a nilpotent Lie group

Currently displaying 1721 – 1740 of 3839