6 citations · 45 across the 34 of their papers we have counts for
37 papers
Derivations and the first Hochschild cohomology group of the quantum grassmannian
Stéphane Launois, Tom Lenagan
We calculate the derivations and the first Hochschild cohomology group of the quantum grassmannian over a field of characteristic zero in the generic case when the deformation para…
The automorphism group of the quantum grassmannian
Stéphane Launois, Tom Lenagan
We calculate the automorphism group of the generic quantum grassmannian.
Factorisation of cross-symmetric, totally nonnegative matrices and an amazing matrix
T H Lenagan, A P Neate
We establish a factorisation theorem for invertible, cross-symmetric, totally nonnegative matrices, and illustrate the theory by verifying that certain cases of Holte's Amazing Mat…
Generalised quantum determinantal rings are maximal orders
T H Lenagan, L Rigal
Generalised quantum determinantal rings are the analogue in quantum matrices of Schubert varieties. Maximal orders are the noncommutative version of integrally closed rings. In thi…
Total positivity is a quantum phenomenon: the grassmannian case
Stéphane Launois, Tom Lenagan, Brendan Nolan
The main aim of this paper is to establish a deep link between the totally nonnegative grassmannian and the quantum grassmannian. More precisely, under the assumption that the defo…
Tauvel's height formula for quantum nilpotent algebras
K R Goodearl, S Launois, T H Lenagan
Tauvel's height formula, which provides a link between the height of a prime ideal and the Gelfand-Kirillov dimension of the corresponding factor algebra, is verified for quantum n…