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Št. zadetkov: 3
Integrable generators of Lie algebras of vector fields on SL[sub]2(C) and on xy = z[sup]2
Rafael Benedikt Andrist
Izvirni znanstveni članek
Oznake: density property;finitely generated Lie algebra;completely integrable vector fields;Andersen–Lempert theory;infinitely transitive;
For the special linear group ▫${\rm SL}_2({\mathbb C})$▫ and for the singular quadratic Danielewski surface ▫$xy = z^2$▫ we give explicitly a finite number of complete polynomial vector fields that generate the Lie algebra of all polynomial vector fields on them. Moreover, we give three unipotent on ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
ǂThe ǂsymplectic density property for Calogero-Moser spaces
Rafael Benedikt Andrist, Gaofeng Huang
Izvirni znanstveni članek
Oznake: symplectic density property;symplectic holomorphic density property;Hamiltonian density property;Hamiltonian holomorphic density property;Andersen-Lempert theory;Calogero-Moser spaces;
We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén-Lempert theory. We establish these properties for the Calogero-Moser space ▫${\cal C}_n$▫ of ▫$n$▫ particles and describe its group of holomorphic symplectic automor ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Algebraic overshear density property
Rafael Benedikt Andrist, Frank Kutzschebauch
Izvirni znanstveni članek
Oznake: shear;overshear;locally nilpotent derivation;density property;flexibility;holomorphic automorphism;bordered Riemann surface;embedding of Riemann surfaces;
We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion of the density property. We investigate basic consequences of this stronger property, and propose further research directions in this borderland betwe ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 3
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