Higher spin alternating sign matrix
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In mathematics, a higher spin alternating sign matrix is a generalisation of the alternating sign matrix (ASM), where the columns and rows sum to an integer r (the spin) rather than simply summing to 1 as in the usual alternating sign matrix definition. HSASMs are square matrices whose elements may be integers in the range −r to +r. When traversing any row or column of an ASM or HSASM, the partial sum of its entries must always be non-negative.
Some typical examples of HSASMs are shown below:
- R. E. Behrend and V. A. Knight, "Higher Spin Alternating Sign Matrices", ""The Electronic Journal of Combinatorics"", 14 (2007), #R83
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