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LSpice
LSpice
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Identities involving Littlewood-RichardsonLittlewood–Richardson coefficients?

I am not aware of that many identities that involve several Littlewood--RichardsonLittlewood–Richardson coefficients. One recent identity, is a generating function as sum of squares of LR-coefficients, due to Harris and Willenbring in Sums of squares of Littlewood–Richardson coefficients and $\operatorname{GL}_n$-harmonic polynomials. This identity is really interesting.

There is also a relation between two sums of LR-coefficients, due to Coquereaux and Zuber, but I find this less interesting for this question.

So my question is, are there some interesting relations involving (potentially weighted) sums of LR-coefficients?

Identities involving Littlewood-Richardson coefficients?

I am not aware of that many identities that involve several Littlewood--Richardson coefficients. One recent identity, is a generating function as sum of squares of LR-coefficients, due to Harris and Willenbring. This identity is really interesting.

There is also a relation between two sums of LR-coefficients, due to Coquereaux and Zuber, but I find this less interesting for this question.

So my question is, are there some interesting relations involving (potentially weighted) sums of LR-coefficients?

Identities involving Littlewood–Richardson coefficients?

I am not aware of that many identities that involve several Littlewood–Richardson coefficients. One recent identity, is a generating function as sum of squares of LR-coefficients, due to Harris and Willenbring in Sums of squares of Littlewood–Richardson coefficients and $\operatorname{GL}_n$-harmonic polynomials. This identity is really interesting.

There is also a relation between two sums of LR-coefficients, due to Coquereaux and Zuber, but I find this less interesting for this question.

So my question is, are there some interesting relations involving (potentially weighted) sums of LR-coefficients?

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Per Alexandersson
Per Alexandersson
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Identities involving Littlewood-Richardson coefficients?

I am not aware of that many identities that involve several Littlewood--Richardson coefficients. One recent identity, is a generating function as sum of squares of LR-coefficients, due to Harris and Willenbring. This identity is really interesting.

There is also a relation between two sums of LR-coefficients, due to Coquereaux and Zuber, but I find this less interesting for this question.

So my question is, are there some interesting relations involving (potentially weighted) sums of LR-coefficients?