Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups
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Publication:3562327
DOI10.1080/00927870902953989zbMath1237.20012arXiv0910.4885OpenAlexW2087163751MaRDI QIDQ3562327
Publication date: 21 May 2010
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.4885
symplectic groupsorthogonal groupslow-dimensional complex charactersprojective complex representations
Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)
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Cites Work
- Unnamed Item
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- The 2-decomposition numbers of Sp(4,q), q odd
- On the minimal degrees of projective representations of the finite Chevalley groups
- Unipotent elements of finite groups of Lie type and realization fields of their complex representations.
- On the minimal degrees of projective representations of the finite Chevalley groups. II
- Cross characteristic representations of symplectic and unitary groups
- Lower bounds for degrees of irreducible Brauer characters of finite general linear groups
- Rank 3 permutation modules of the finite classical groups.
- SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
- Centralizers of Semisimple Elements in the Finite Classical Groups
- Cross characteristic representations of even characteristic symplectic groups
- Minimal characters of the finite classical groups
- On the conjugacy classes in the unitary, symplectic and orthogonal groups
- Low-dimensional representations of special unitary groups