Tag Archives: littlewood-richardson coefficient

Polynomials and Representations XVIII

Littlewood-Richardson Coefficients Recall that the Littlewood-Richardson coefficient satisfies: By the previous article, for any SSYT of shape ,  is the number of skew SSYT of shape whose rectification is Since this number is independent of our choice of as long as its shape is … Continue reading

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Polynomials and Representations XVII

Two Important Results In this article and the next, we will find a combinatorial way of computing the Littlewood-Richardson coefficient. The key result we have so far is that given any word w there is a unique SSYT T (called the rectification of … Continue reading

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Polynomials and Representations XIII

Skew Diagrams If we multiply two elementary symmetric polynomials and , the result is just , where is the concatenation of and sorted. Same holds for However, we cannot express in terms of easily, which is unfortunate since the Schur functions are the … Continue reading

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