An inhomogeneous Lambda-determinant

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.

35 pages, 38 figures

References in corpus (3)

• Q-systems as cluster algebras II: Cartan matrix of finite type and the polynomial property
• Perfect Matchings and the Octahedron Recurrence
• The solution of the $A_r$ T-system for arbitrary boundary

Cited by in corpus (1)

• Lambda Determinants