23 citations · 107 across the 43 of their papers we have counts for
Showing 2013 · math.QAShow all
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math.QA2013★ 8 cited
Endomorphisms of quantum generalized Weyl algebras
A. P. Kitchin, S. Launois
We prove that every endomorphism of a simple quantum generalized Weyl algebra over a commutative Laurent polynomial ring in one variable is an automorphism. This is achieved by…
math.QA2013★ 1 cited
A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic
Stephane Launois, Cesar Lecoutre
The quadratic Poisson Gel'fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is Poisson birationally equivalent to a Poisson affine space, i.e. to a pol…
math.QA2013★ 23 cited
Graded quantum cluster algebras and an application to quantum Grassmannians
Jan E. Grabowski, Stéphane Launois
We introduce a framework for -gradings on cluster algebras (and their quantum analogues) that are compatible with mutation. To do this, one chooses the degrees of the (…