School of Mathematical Sciences

Connected quantized Weyl algebras menu

Connected quantized Weyl algebras

David Jordan (Sheffield)
Mon, 03/02/2014 - 16:30
Seminar series: 

A connected quantized Weyl algebra is a finitely generated algebra such that (i) the standard monomials in the generators form a (PBW) basis, (ii) between any two generators x and y there is a relation of the form xy−qyx = r and (iii) r 6= 0 for sufficiently many (in some sense) of these relations. I will discuss how these algebras have emerged through interactions between cluster algebras, quiver mutation, iteration of automorphisms of rational function fields and Poisson algebras and then discuss some of their algebraic properties and why they might be of interest in noncommutative ring theory.

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