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arXiv · 1412.6323

Spectral synthesis for coadjoint orbits of nilpotent Lie groups

Ingrid Beltita·Jean Ludwig
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Abstract

We determine the space of primary ideals in the group algebra $L^1(G)$ of a connected nilpotent Lie group by identifying for every $\pi\in\hat G $ the family ${\mathcal I}^\pi $ of primary ideals with hull $\{\pi\}$ with the family of invariant polynomials of a certain finite dimensional subspace ${\mathcal P}_Q^\pi $ of the space of polynomials ${\mathcal P}(G) $ on $G $.

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Ingrid Beltita, Jean Ludwig. 2014-12-19. Spectral synthesis for coadjoint orbits of nilpotent Lie groups. https://arxiv.org/abs/1412.6323

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