CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Gaussian posets Richard Green, CU
November 9 and 16, 2010 Math 220 2-3pm	Abstract A Gaussian poset is a type of finite poset satisfying a certain technical algebraic condition that defies concise summary. I will explain how minuscule representations of Lie algebras give rise to interesting examples of Gaussian posets. It is conjectured that any Gaussian poset is a direct sum of Gaussian posets coming from minuscule representations, and this has been an open question since the 80s. Although a direct combinatorial characterization of Gaussian posets is not known, the set of irreducible Gaussian posets is the solution to another problem that is purely combinatorial in nature. These (expository) talks will also discuss applications of Gaussian posets to the combinatorics of plane partitions.

Gaussian posets

Richard Green, CU

November 9 and 16, 2010

Math 220

2-3pm

Abstract

A Gaussian poset is a type of finite poset satisfying a certain technical algebraic condition that defies concise summary. I will explain how minuscule representations of Lie algebras give rise to interesting examples of Gaussian posets. It is conjectured that any Gaussian poset is a direct sum of Gaussian posets coming from minuscule representations, and this has been an open question since the 80s. Although a direct combinatorial characterization of Gaussian posets is not known, the set of irreducible Gaussian posets is the solution to another problem that is purely combinatorial in nature. These (expository) talks will also discuss applications of Gaussian posets to the combinatorics of plane partitions.