58 citations · 319 across the 55 of their papers we have counts for
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math.QA2009★ 2 cited
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…
math.AG2009★ 6 cited
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…
math.RA2009★ 11 cited
Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two
K. R. Goodearl, J. J. Zhang
We classify all noetherian Hopf algebras over an algebraically closed field of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy…