On representation theory of partition algebras for complex reflection groups
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Publication:1985357
DOI10.5802/alco.97zbMath1436.05130arXiv1812.04531OpenAlexW3106026413MaRDI QIDQ1985357
Shraddha Srivastava, Ashish Mishra
Publication date: 7 April 2020
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04531
Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
Related Items (6)
The Gelfand–Tsetlin basis for infinite-dimensional representations of gln(C) ⋮ Multiparameter colored partition category and the product of the reduced Kronecker coefficients ⋮ Cutoff phenomenon for the warp-transpose top with random shuffle ⋮ On quasi Steinberg characters of complex reflection groups ⋮ The multiset partition algebra ⋮ Jucys–Murphy elements of partition algebras for the rook monoid
Cites Work
- Unnamed Item
- Unnamed Item
- The Okounkov-Vershik approach to the representation theory of \(G\sim S_n\)
- Partition algebras.
- A new approach to representation theory of symmetric groups
- Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
- On the eigenvalues of representations of reflection groups and wreath products
- On the finite imprimitive unitary reflection groups
- Higher Specht polynomials for the complex reflection group \(G(r,p,n)\)
- On an algebraic approach to higher dimensional statistical mechanics
- Algebras in higher-dimensional statistical mechanics -- the exceptional partition (mean field) algebras
- \(G\)-colored partition algebras as centralizer algebras of wreath products
- A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)
- On the representation theory of wreath products of finite groups and symmetric groups
- A seminormal form for partition algebras
- On partition algebras for complex reflection groups.
- Colored-descent representations of complex reflection groups \(G(r,p,n)\).
- Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn
- Murnaghan-Nakayama Rules for Characters of Iwahori-Hecke Algebras of the Complex Reflection Groups G(r, p, n)
- Finite complex reflection groups
- TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
- On the centralizer algebra of the unitary reflection group G(m,p,n)
- The partition algebra and the Potts model transfer matrix spectrum in high dimensions
- Finite Unitary Reflection Groups
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