Affine Alternating Sign Matrices

نویسنده

  • Michael Bennett
چکیده

An Alternating sign matrix is a square matrix of 0’s, 1’s, and −1’s in which the sum of the entries in each row or column is 1 and the signs of the nonzero entries in each row or column alternate. This paper attempts to define an analogue to alternating sign matrices which is infinite and periodic. After showing the analogue we define shares desirable cahracteristics with alternating sign matrices, we attempt to enumerate these “affine alternating sign matrices” finding results for some simple cases, though not a general result.

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تاریخ انتشار 2009