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4 papers · 1 filter
Twisting the quantum grassmannian
S Launois, T H Lenagan
In contrast to the classical and semiclassical settings, the Coxeter element (12...n) which cycles the columns of an mxn matrix does not determine an automorphism of the quantum gr…
Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves
K. R. Goodearl, S. Launois, T. H. Lenagan
The algebra of quantum matrices of a given size supports a rational torus action by automorphisms. It follows from work of Letzter and the first named author that to understand the…
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…
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…