Department of Mathematics, University of Michigan, Ann Arbor, MI 48109; and
Department of Mathematics, University of Minnesota, Minneapolis, MN 55414.
Proc Natl Acad Sci U S A. 2014 Jul 8;111(27):9680-7. doi: 10.1073/pnas.1313068111. Epub 2014 Jun 30.
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.
我们在特殊线性群作用在三维向量、向量、矩阵集合的不变量环上构造并研究了簇代数结构。该构造使用了 Kuperberg 在有边界标记曲面上的网络微积分。