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Displaying 1941 – 1960 of 2342

The elements of bounded trace in the C*-algebra of a nilpotent Lie group.

Jean Ludwig, G. Rosenbaum, J. Samuel (1986)

Inventiones mathematicae

The energy representation of Sobolev-Lie groups

Sergio Albeverio, Raphael Høegh-Krohn (1978)

Compositio Mathematica

The Enright Functor on the Bernstein-Gelfand-Gelfand Category ... .

A. Joseph (1982)

Inventiones mathematicae

The evolution and Poisson kernels on nilpotent meta-abelian groups

Richard Penney, Roman Urban (2013)

Studia Mathematica

Let S be a semidirect product S = N⋊ A where N is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and A is isomorphic to $ℝ^{k}$ , k>1. We consider a class of second order left-invariant differential operators on S of the form $ℒ_{α} = L^{a} + Δ_{α}$ , where $α \in ℝ^{k}$ , and for each $a \in ℝ^{k}, L^{a}$ is left-invariant second order differential operator on N and $Δ_{α} = Δ - ⟨ α, \nabla ⟩$ , where Δ is the usual Laplacian on $ℝ^{k}$ . Using some probabilistic techniques (e.g., skew-product formulas for diffusions on S and N respectively) we obtain an...

The exceptional representations of $G l_{2}$

P. C. Kutzko (1984)

Compositio Mathematica

The exponential map and differential equations on real Lie groups.

Moskowitz, Martin, Sacksteder, Richard (2003)

Journal of Lie Theory

The Failure of the Topological Frobenius Property for Nilpotent Lie Groups. II.

Ole A. Nielsen (1981)

Mathematische Annalen

The failure of the topological Frobenius property for nilpotent Lie groups.

Ole A. Nielsen (1979)

Mathematica Scandinavica

The Fatou theorem for NA groups - a negative result

Jarosław Sołowiej (1994)

Colloquium Mathematicae

The F-method and a branching problem for generalized Verma modules associated to $(Lie G_{2}, so (7))$

Todor Milev, Petr Somberg (2013)

Archivum Mathematicum

The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in [15]. In the present article, we employ the recently developed F-method, [10], [11] to the couple of non-compatible Lie algebras $Lie G_{2} \overset{i}{↪} so (7)$ , and generalized conformal $so (7)$ -Verma modules of scalar type. As a result, we classify the $i (Lie G_{2}) \cap 𝔭$ -singular vectors for this class of $so (7)$ -modules.