Howe duality of the symmetric group and a multiset partition algebra
From MaRDI portal
Publication:5872639
DOI10.1080/00927872.2022.2099884OpenAlexW3043752321MaRDI QIDQ5872639
Michael Zabrocki, Rosa C. Orellana
Publication date: 2 January 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07370
Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Partition algebras.
- A computational and combinatorial exposé of plethystic calculus
- A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules
- The center of the partition algebra
- A Hopf-algebra approach to inner plethysm
- Recent trends in algebraic combinatorics
- Partitions of multisets
- The structure of the partition algebras
- Set-partition tableaux and representations of diagram algebras
- The co-Pieri rule for stable Kronecker coefficients
- Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups
- An insertion algorithm on multiset partitions with applications to diagram algebras
- A seminormal form for partition algebras
- Products of symmetric group characters
- Lie groups. An approach through invariants and representations
- RSK insertion for set partitions and diagram algebras
- Representations of graph Temperley-Lieb algebras
- Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn
- Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
- The partition algebra and the Kronecker coefficients
- Characters of the partition algebras.
- The multiset partition algebra