CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Making Analogies with Full Heaps Zachary Strider McGregor-Dorsey, CU
November 30 and December 7, 2010 Math 220 2-3pm	Abstract The notion of a full heap was developed by Richard Green as an affine analogue to the minuscule posets of simple Lie algebras. As such, one might expect that various properties of minuscule posets are shared by full heaps. (For example, convex subposets of both minuscule posets and full heaps correspond to their respective minuscule elements.) In this talk, we look to a few properties of minuscule posets and discuss their application to full heaps, if any. In particular, we will build new full heaps from others using the ideas from the Fundamental Theorem for Finite Distributive Lattices , as well as explore a somewhat unsatisfying relation to Gaussian posets. And more!, time permitting.

Making Analogies with Full Heaps

Zachary Strider McGregor-Dorsey, CU

November 30 and December 7, 2010

Math 220

2-3pm

Abstract

The notion of a full heap was developed by Richard Green as an affine analogue to the minuscule posets of simple Lie algebras. As such, one might expect that various properties of minuscule posets are shared by full heaps. (For example, convex subposets of both minuscule posets and full heaps correspond to their respective minuscule elements.) In this talk, we look to a few properties of minuscule posets and discuss their application to full heaps, if any. In particular, we will build new full heaps from others using the ideas from the Fundamental Theorem for Finite Distributive Lattices , as well as explore a somewhat unsatisfying relation to Gaussian posets. And more!, time permitting.