### Abstract

We show that the two cuspidal unipotent characters of a finite Chevalley group E-T(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p equivalent to 1 mod 4. The proof uses a refinement of Kawanaka's generalized Gelfand-Graev representations and Some explicit Computations with the CHEVIE computer algebra system.

Original language | English |
---|---|

Pages (from-to) | 201-215 |

Number of pages | 14 |

Journal | Osaka Journal of Mathematics |

Volume | 42 |

Issue number | 1 |

Publication status | Published - 2005 |

### Keywords

- IRREDUCIBLE CHARACTERS
- REPRESENTATIONS
- SUPPORT

### Cite this

*Osaka Journal of Mathematics*,

*42*(1), 201-215.

**The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E\sb 7(q)$.** / Geck, Meinolf Josef.

Research output: Contribution to journal › Article

*Osaka Journal of Mathematics*, vol. 42, no. 1, pp. 201-215.

}

TY - JOUR

T1 - The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E\sb 7(q)$

AU - Geck, Meinolf Josef

PY - 2005

Y1 - 2005

N2 - We show that the two cuspidal unipotent characters of a finite Chevalley group E-T(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p equivalent to 1 mod 4. The proof uses a refinement of Kawanaka's generalized Gelfand-Graev representations and Some explicit Computations with the CHEVIE computer algebra system.

AB - We show that the two cuspidal unipotent characters of a finite Chevalley group E-T(q) have Schur index 2, provided that q is an even power of a (sufficiently large) prime number p such that p equivalent to 1 mod 4. The proof uses a refinement of Kawanaka's generalized Gelfand-Graev representations and Some explicit Computations with the CHEVIE computer algebra system.

KW - IRREDUCIBLE CHARACTERS

KW - REPRESENTATIONS

KW - SUPPORT

M3 - Article

VL - 42

SP - 201

EP - 215

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

SN - 0030-6126

IS - 1

ER -