The Poisson centralizer of the trace element Σi xi,i is determined in the coordinate ring of SLn endowed with the Poisson structure obtained as the semiclassical limit of its quantized coordinate ring. It turns out that this maximal Poisson-commutative subalgebra coincides with the subalgebra of invariants with respect to the adjoint action. © 2018 Heldermann Verlag
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
In this paper, we prove that the subalgebras of cocommutative elements in the quantized coordinate r...
The two main approaches to the study of irreducible representations of orders (via traces and Poisso...
Let $W = \mathbb{C}[t,t^{-1}]\partial_t$ be the Witt algebra of algebraic vector fields on $\mathbb{...
We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Pois...
If g is a Lie algebra then the semi-centre of the Poisson algebra S(g) is the subalgebra gener...
A Poisson ℂ-algebra R appears in classical mechanical system and its quantized algebra appearing in ...
AbstractA class of Poisson algebras An,ΓP,Q considered as a Poisson version of the multiparameter qu...
A Poisson ℂ-algebra R appears in classical mechanical system and its quantized algebra appearing in ...
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
Abstract. — The structure of Poisson polynomial algebras of the type obtained as semiclassical limit...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
In this paper, we prove that the subalgebras of cocommutative elements in the quantized coordinate r...
The two main approaches to the study of irreducible representations of orders (via traces and Poisso...
Let $W = \mathbb{C}[t,t^{-1}]\partial_t$ be the Witt algebra of algebraic vector fields on $\mathbb{...
We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Pois...
If g is a Lie algebra then the semi-centre of the Poisson algebra S(g) is the subalgebra gener...
A Poisson ℂ-algebra R appears in classical mechanical system and its quantized algebra appearing in ...
AbstractA class of Poisson algebras An,ΓP,Q considered as a Poisson version of the multiparameter qu...
A Poisson ℂ-algebra R appears in classical mechanical system and its quantized algebra appearing in ...
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
Abstract. — The structure of Poisson polynomial algebras of the type obtained as semiclassical limit...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
summary:Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson b...