Webs on surfaces, rings of invariants, and clusters.

Autor: Fomin S; Department of Mathematics, University of Michigan, Ann Arbor, MI 48109; and fomin@umich.edu., Pylyavskyy P; Department of Mathematics, University of Minnesota, Minneapolis, MN 55414.
Jazyk: angličtina
Zdroj: Proceedings of the National Academy of Sciences of the United States of America [Proc Natl Acad Sci U S A] 2014 Jul 08; Vol. 111 (27), pp. 9680-7. Date of Electronic Publication: 2014 Jun 30.
DOI: 10.1073/pnas.1313068111
Abstrakt: We construct and study cluster algebra structures in rings of invariants of the special linear group action on collections of 3D vectors, covectors, and matrices. The construction uses Kuperberg's calculus of webs on marked surfaces with boundary.
Databáze: MEDLINE