We exhibit quantum cluster algebra structures on quantum Grassmannians Kq[Gr(2,n)] and their quantum Schubert cells, as well as on Kq[Gr(3,6)], Kq[Gr(3,7)] and Kq[Gr(3,8)]. These cases are precisely those where the quantum cluster algebra is of finite type and the structures we describe quantize those found by Scott for the classical situation.
Recent snippets from the web
Tuesday 22 December 2009
Preprint:"Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases" (arXiv:0912.4397)
A preprint of the paper "Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases", by myself and Stéphane Launois, is now available on the arXiv via the above link. The abstract for this paper is as follows:
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment