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Artículo
On partitions with k corners not containing the staircase with one more corner
(Cornell University, 2020)
We give three proofs of the following result conjectured by Carriegos, De Castro-Garc\'ıa and Muñoz Castañeda in their work on enumeration of control systems: when (k+12)≤n<(k+22), there are as many partitions of n with k ...
Artículo
The 144 symmetries of the Littlewood-Richardson coefficients of SL3
(Cornell University, 2020)
We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of SL3. We find that there are 144 symmetries, more than the 12 symmetries known for the ...