Cauchy formula and the character ring
ITEP and IITP, Moscow, Russia
* e-mail: email@example.com
Accepted: 14 January 2019
Published online: 28 January 2019
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.
© The Author(s), 2019