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Cauchy formula and the character ring
oleh: A. Morozov
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2019-01-01 |
Deskripsi
Abstract 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.