Double Crystals of Binary and Integral Matrices
نویسندگان
چکیده
منابع مشابه
Double Crystals of Binary and Integral Matrices
We introduce a set of operations that we call crystal operations on matrices with entries either in {0, 1} or in N. There are horizontal and vertical forms of these operations, which commute with each other, and they give rise to two different structures of a crystal graph of type A on these sets of matrices. They provide a new perspective on many aspects of the RSK correspondence and its dual,...
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Asymptotic formula are derived for the number of n x m matrices of fixed rank k with rational integral coefficients that are contained in a Euclidean ball of radius T in R" *m . It is assumed that n > m > k > 1 are fixed, and the asymptotics are valid as T tends to infinity. The methods used are elementary.
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2006
ISSN: 1077-8926
DOI: 10.37236/1112