English

An inhomogeneous Lambda-determinant

Combinatorics 2012-10-01 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1209.6619,
  title  = {An inhomogeneous Lambda-determinant},
  author = {P. Di Francesco},
  journal= {arXiv preprint arXiv:1209.6619},
  year   = {2012}
}

Comments

35 pages, 38 figures

R2 v1 2026-06-21T22:13:03.437Z