6 citations · 22 across the 17 of their papers we have counts for
4 papers · 1 filter
Quantum analogues of Schubert varieties in the grassmannian
T H Lenagan, L Rigal
We study quantum Schubert varieties from the point of view of regularity conditions. More precisely, we show that these rings are domains which are maximal orders and are AS-Cohen-…
The first Hochschild cohomology group of quantum matrices and the quantum special linear group
S Launois, T H Lenagan
We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformati…
Quadratic and cubic invariants of unipotent affine automorphisms
V V Bavula, T H Lenagan
Let be an arbitrary field of characteristic zero, be a polynomial algebra, and , for . Let $\s' \in…
Quantised coordinate rings of semisimple groups are unique factorisation domains
S Launois, T H Lenagan
We show that the quantum coordinate ring of a semisimple group is a unique factorisation domain in the sense of Chatters and Jordan in the case where the deformation parameter q is…