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arxiv: 1209.6619 · v1 · pith:2C6CJFOVnew · submitted 2012-09-28 · 🧮 math.CO · math-ph· math.MP

An inhomogeneous Lambda-determinant

classification 🧮 math.CO math-phmath.MP
keywords lambda-determinantalgebraalternatingattachedclustercoefficientsexpressgeneralization
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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.

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