16 citations · 51 across the 17 of their papers we have counts for
4 papers · 1 filter
Twisted Poincare duality for some quadratic Poisson algebras
S. Launois, L. Richard
We exhibit a Poisson module restoring a twisted Poincare duality between Poisson homology and cohomology for the polynomial algebra R=C[X_1,...,X_n] endowed with Poisson bracket ar…
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…
On the Hochschild cohomology and the automorphism group of U_q(sl_4^+)
Stephane Launois, Samuel A Lopes
We compute the automorphism group of the q-enveloping algebra U_q(sl_4^+) of the nilpotent Lie algebra of strictly upper triangular matrices of size 4. The result obtained gives a…
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…