8 citations · 25 across the 10 of their papers we have counts for
4 papers · 1 filter
On the automorphism groups of q-enveloping algebras of nilpotent Lie algebras
S. Launois
We investigate the automorphism group of the quantised enveloping algebra U of the positive nilpotent part of certain simple complex Lie algebras g in the case where the deformatio…
Prime ideals in the quantum grassmannian
S Launois, T H Lenagan, L Rigal
We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes…
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…
Dimension and enumeration of primitive ideals in quantum algebras
J. Bell, S. Launois, N. Nguyen
In this paper, we study the primitive ideals of quantum algebras supporting a rational torus action. We first prove a quantum analogue of a Theorem of Dixmier; namely, we show that…