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math.RT2023
A Deleting Derivations Algorithm for Quantum Nilpotent Algebras at Roots of Unity
Stéphane Launois, Samuel A. Lopes, Alexandra Rogers
This paper extends an algorithm and canonical embedding by Cauchon to a large class of quantum algebras. It applies to iterated Ore extensions over a field satisfying some suitable…
math.RT2017★ 2 cited
The Orbit Method for Poisson Orders
Stephane Launois, Lewis Topley
A version of Kirillov's orbit method states that the primitive spectrum of a generic quantisation of a Poisson algebra should correspond bijectively to the symplectic leave…
math.RT2007★ 8 cited
The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras
K. R. Goodearl, S. Launois
The structure of Poisson polynomial algebras of the type obtained as semiclassical limits of quantized coordinate rings is investigated. Sufficient conditions for a rational Poisso…