Decomposition numbers of \(\text{SU}(3,q^2)\)

DOI10.1016/S0021-8693(02)00160-6zbMath1023.20005OpenAlexW2005885400MaRDI QIDQ1858189

Tetsuro Okuyama, Katsushi Waki

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00160-6

zbMATH Keywords

special unitary groupsprincipal blocksdecomposition numbersSteinberg charactercuspidal charactersGreen correspondences

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (13)

Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups. ⋮ On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ \(Sp_6(2^a)\) is ``good for the McKay, Alperin weight, and related local-global conjectures. ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ On the decomposition numbers of the Ree groups \(^2F_4(q^2)\) in non-defining characteristic. ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ First cohomology groups of Chevalley groups in cross characteristic. ⋮ A note on decomposition numbers for groups of Lie type of small rank. ⋮ On the modular composition factors of the Steinberg representation ⋮ On the Decomposition Numbers of Steinberg's Triality Groups³D₄(2ⁿ) in Odd Characteristics ⋮ Derived equivalences for the 3-dimensional special unitary groups in non-defining characteristic ⋮ Rank 3 permutation modules of the finite classical groups. ⋮ Decomposition matrices for low-rank unitary groups

Uses Software

• MeatAxe

Cites Work

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• Decomposition numbers of Sp(4,q) for primes dividing \(q\pm 1\)
• On the decomposition numbers of \(G_ 2(q)\)
• Block structure of the smallest Janko group
• Isomorphic blocks
• Remarks on isomorphic blocks
• Peakword condensation and submodule lattices: An application of the Meat- Axe
• Decomposition numbers of \(\text{Sp}(4,q)\)
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗

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