An Inhomogeneous Lambda-Determinant

  • Philippe Di Francesco
Keywords: alternating sign matrices, discrete integrable systems, cluster algebra, networks

Abstract

We introduce a multi-parameter generalization of the Lambda-determinant of Robbins and Rumsey, based on the cluster algebra with coefficients attached to a T-system recurrence. We express the result as a weighted sum over alternating sign matrices.
Published
2013-08-16
Article Number
P19