Geodesic
An inhomogeneous lambda-determinant
Philippe Di Francesco1
1CEA Saclay/IPHT
The electronic journal of combinatorics, Tome 20 (2013) no. 3
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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.
DOI : 10.37236/2756
Classification : 05B20, 05A15, 05A30, 05C82, 05C20, 05C38, 15A15
Mots-clés : alternating sign matrices, discrete integrable systems, cluster algebra, networks

Philippe Di Francesco  1

1 CEA Saclay/IPHT 
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     author = {Philippe Di Francesco},
     title = {An inhomogeneous lambda-determinant},
     journal = {The electronic journal of combinatorics},
     year = {2013},
     volume = {20},
     number = {3},
     doi = {10.37236/2756},
     zbl = {1408.05023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2756/}
}
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Philippe Di Francesco. An inhomogeneous lambda-determinant. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/2756

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