Another proof for the continuity of the Lipsman mapping

A.  Messaoud; A.  Rahali

doi:10.37863/umzh.v72i7.548

A. Messaoud
A. Rahali Univ. Sfax, Tunisia

DOI: https://doi.org/10.37863/umzh.v72i7.548

Ключові слова: Lie groups, semidirect product, unitary representations, coadjoint orbits, symplectic induction

Анотація

УДК 515.1

Ще одне доведення неперервностi вiдображення Лiпсмана

Розглядається напiвпрямий добуток $G = K \ltimes V$, де $K$ є зв’язною компактною групою Лi автоморфiзмiв, що дiють на скiнченновимiрному дiйсному векторному просторi $ V$ iз внутрiшнiм добутком $\langle ,\rangl
$$\Theta : {\frak{g}^{ \ddagger} /} G - \rightarrow \widehat{G} .$$

Посилання

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