Characters of the Partition Algebras

By Tom Halverson. 2001

51 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/10abc7055b9862256a0a378ae5fc989b487aff63

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In Discrete Mathematics and Combinatorics

1. Mike Zabrocki
2. Rosa C. Orellana

In Geometry and Topology

1. Mike Zabrocki
2. Rosa C. Orellana

Citations in the corpus

• Symmetric group characters as symmetric functions (2015, methodology): “ule as follows V ⊗k = M λ⊢n Lλ ⊗Sλ where Lλ are irreducible representation of Pk(n) and the sum runs over all partitions of n such that λ2 +λ3 +··· +λℓ(λ) ≤ k. This duality has been used by Halverson [Hal] to compute the characters of the partition algebra by describing a Murnaghan-Nakayama rule for”