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2018

Cauchy formula and the character ring

Morozov, A.

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Cauchy summation formula plays a central role in application of character calculus to many problems, from AGT-implied Nekrasov decomposition of conformal blocks to topological-vertex decompositions of link invariants.

We briefly review the equivalence between Cauchy formula and expressibility of skew characters through the Littlewood-Richardson coefficients.
As not-quite-a-trivial illustration we consider how this equivalence works in the case of plane partitions -- at the simplest truly interesting level of just four boxes.

Cauchy formula and the character ring · Around

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