23 citations · 107 across the 43 of their papers we have counts for
7 papers · 1 filter
Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases
Jan E. Grabowski, Stéphane Launois
We exhibit quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells, as well as on , and $K_q[Gr(3,8…
From totally nonnegative matrices to quantum matrices and back, via Poisson geometry
S. Launois, T. H. Lenagan
In this survey article, we describe recent work that connects three separate objects of interest: totally nonnegative matrices; quantum matrices; and matrix Poisson varieties.
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…
Totally nonnegative cells and matrix Poisson varieties
K. R. Goodearl, S. Launois, T. H. Lenagan
We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce nonempty cells in the cell…
On the dimension of H-strata in quantum matrices
J. Bell, S. Launois
We study the topology of the prime spectrum of an algebra supporting a rational torus action. More precisely, we study inclusions between prime ideals that are torus-invariant usin…