A. Rainer

activity

20032026

most citedComposition in ultradifferentiable classes

62 citations · 389 across the 51 of their papers we have counts for

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4 papers · 1 filter

math.RT2011★ 3 cited

Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]

Andreas Kriegl, Mark Losik, Peter W. Michor +1

We improve the main results in the paper from the title using a recent refinement of Bronshtein's theorem due to Colombini, Orrú, and Pernazza. They are then in general best possib…

math.RT2009★ 8 cited

A generalization of Puiseux's theorem and lifting curves over invariants

Mark Losik, Peter W. Michor, Armin Rainer

Let $ρ : G \to GL (V)$ be a rational representation of a reductive linear algebraic group $G$ defined over $C$ on a finite dimensional complex vector space $V$ …

math.RT2007

Invariant functions in Denjoy-Carleman classes

Armin Rainer

Let $V$ be a real finite dimensional representation of a compact Lie group $G$ . It is well-known that the algebra $R [V]^{G}$ of $G$ -invariant polynomials on $V$ is finitely g…

math.RT2005★ 8 cited

Lifting smooth curves over invariants for representations of compact Lie groups, III

Andreas Kriegl, Mark Losik, Peter W. Michor +1

Any sufficiently often differentiable curve in the orbit space $V / G$ of a real finite-dimensional orthogonal representation $G \to O (V)$ of a finite group $G$ admits a differentiab…