Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients

Using Schofield semi-invariants, and showing a correspondence between weight spaces of semi-invariant rings for a special class of quivers, and the Littlewood-Richardson coefficients, we show that the space of Littlewood-Richardson numbers is saturated, i.e. if c_{N \lambda, N μ}^{N \nu} \neq 0 then c_{\lambda, μ}^\nu \neq 0, by showing that weights σ \in \Sigma(Q, β) are saturated.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2015

Author dc:creator

• Schreiber, Amelie

• Algebraic Combinatorics

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/57108

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/57108