Small G-varieties

An affine variety with an action of a semisimple group G is called “small” if every nontrivial G-orbit in X is isomorphic to the orbit of a highest weight vector. Such a variety X carries a canonical action of the multiplicative group ${\mathbb {K}^{*}}$ commuting with the G-action. We show that X i...

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Veröffentlicht in:	Canadian journal of mathematics 2024-02, Vol.76 (1), p.173-215
Hauptverfasser:	Kraft, Hanspeter, Regeta, Andriy, Zimmermann, Susanna
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Orbits Quotients Set theory Subgroups Vectors (mathematics)
Online-Zugang:	Volltext
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