Transition matrices between Young's natural and seminormal representations
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Publication:2048541
DOI10.37236/10081zbMath1470.05168arXiv2012.03828OpenAlexW3184165567MaRDI QIDQ2048541
Publication date: 6 August 2021
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.03828
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Group actions on combinatorial structures (05E18)
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Cites Work
- Combinatorial aspects of skew representations of the symmetric group
- A new approach to representation theory of symmetric groups
- A new interpretation of Gelfand-Tsetlin bases
- Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
- Specht series for skew representations of symmetric groups
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
- Affine Hecke algebras and generalized standard Young tableaux.
- Combinatorics of Coxeter Groups
- Efficient Computation of the Fourier Transform on Finite Groups
- Generalized Quotients in Coxeter Groups
- TURBO-STRAIGHTENING FOR DECOMPOSITION INTO STANDARD BASES
- Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
- The Transition Matrix between the Specht and Web Bases Is Unipotent with Additional Vanishing Entries
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