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Math

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Andrius Kulikauskas

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Understand the combinatorics underlying the map between elementary (< decreasing slack) and homogeneous (<= increasing slack) bases, especially as it works in taking the power (=) basis to define the Schur (< x <=) bases. Consider this also in the case of the eigenvalues of a matrix. We also have a foursome, perhaps: Schur - monomial - forgotten? - power. The human bases - monomial and forgotten - map to elementary and homogeneous?

Make sense combinatorially of the map between the homogeneous functions of eigenvalues in terms of words and in terms of products of Lyndon words.

Consider what can be said of a postive definite matrix of eigenvalues of a matrix.

SymmetricFunctions


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Puslapis paskutinį kartą pakeistas 2017 sausio 31 d., 20:32
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