Distributions invariant under compact Lie groups

Bogdan Ziemian

Displaying similar documents to “Distributions invariant under compact Lie groups”

Invariant orders in Lie groups

Neeb, Karl-Hermann

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[For the entire collection see Zbl 0742.00067.]The author formulates several theorems about invariant orders in Lie groups (without proofs). The main theorem: a simply connected Lie group $G$ admits a continuous invariant order if and only if its Lie algebra $L (G)$ contains a pointed invariant cone. V. M. Gichev has proved this theorem for solvable simply connected Lie groups (1989). If $G$ is solvable and simply connected then all pointed invariant cones $W$ in $L (G)$ are global in $G$ (a Lie wedge $W \subset L (G)$ ...

Lie groups with no left invariant complex structures

Cordero, Luis A., Fernández, Marisa, Gray, Alfred (1990)

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Invariant Dissipative Operators on Locally Compact Groups.

Hiroshi Nakazato (1987)

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On distributions invariant with respect to some linear transformations

Bogdan Ziemian (1979)

Annales Polonici Mathematici

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Multipliers on Schwartz spaces of some Lie groups

Thomas Ramsey, Yitzhak Weit (1987)

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Embeddability of infinitely divisible distributions on linear Lie groups.

S.G. Dani, M. McCrudden (1992)

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On universal enveloping algebras in a topological setting

Daniel Beltiţă, Mihai Nicolae (2015)

Studia Mathematica

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We study some embeddings of suitably topologized spaces of vector-valued smooth functions on topological groups, where smoothness is defined via differentiability along continuous one-parameter subgroups. As an application, we investigate the canonical correspondences between the universal enveloping algebra, the invariant local operators, and the convolution algebra of distributions supported at the unit element of any finite-dimensional Lie group, when one passes from finite-dimensional...