## The Arcata conference on representations of finite groups, Part 1 (Google eBook) |

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### Contents

13 | |

Varieties for modules | 37 |

The Hecke algebra of a finite Coxeter group | 51 |

On the BrauerSuzuki theorem | 57 |

Arithmetical conditions on character degrees and group structure | 65 |

Good filtrations of rational modules for reductive groups | 69 |

Noncommutators and the number of projective characters of a finite group | 71 |

Fully ramified characters | 83 |

Representations and maximal subgroups | 275 |

Blocks and Brauer trees for groups of type G2q | 283 |

Green functions of reductive groups over a finite field | 289 |

Constructing representations from group geometries | 303 |

Geometrical Gelfand models tensor quotients and Weil representations | 305 |

The values of irreducible characters of the symmetric group | 317 |

Toward Lusztigs classification of characters | 323 |

Related topics | 327 |

Holonomic Pmodules in representation theory | 87 |

Character degrees of finite pgroups | 89 |

Finite Groups of Lie Type | 99 |

Characters of solvable groups | 103 |

Representations of Chevalley groups in their own characteristic | 127 |

Shintani lifting and GelfandGraev representations | 147 |

The Lusztig conjecture | 149 |

Composition factors of induced modules for algebraic groups and their | 163 |

Introduction to character sheaves | 165 |

A Hopf algebra associated to the cohomology of the symmetric groups | 171 |

Finite groups and modular functions | 181 |

Cohomology of irreducible modules with large weights | 187 |

On the generic cohomology | 195 |

Some representations of special linear groups | 207 |

Representation theory and translation planes | 211 |

On hyperoctahedral hyperplane complements | 219 |

Leading coefficients of character values of Hecke algebras | 232 |

Cohomology of algebraic groups | 233 |

Stratifying representation | 248 |

Double cosets and modular representation theory | 249 |

The algebraic theory | 259 |

Coding theory and representation theory | 339 |

The study of distanceregular graphs from the algebraic i e character | 343 |

Raising and lowering operators for sin with applications to orthogonal | 351 |

Weights for finite groups | 369 |

On block induction | 395 |

Symmetric powers of cyclic sets and the definition of A Weils zetafunctions | 407 |

Extending selfdual modules | 409 |

The geometry of homogeneous extension categories | 413 |

On selfnormalizing cyclic subgroups | 419 |

Hypercohomology varieties for complexes of modules the realizability cri | 431 |

Blocks of projective representations of the symmetric groups | 439 |

The Loewy structure of projective indecomposable modules for some | 447 |

449 | |

Youngdiagrammatic methods for the representation theory of the groups | 460 |

On the generalized exponents of classical Lie groups | 463 |

On the cohomology of pconstrained groups | 467 |

On the Loewy structure of the modular groupalgebra over a group of small | 475 |

Picard groups of integral group rings of nilpotent groups | 477 |

Blocks of defect zero and degree problems | 481 |

### Common terms and phrases

1980 Mathematics Subject 1987 American Mathematical algebraic groups Amer assume automorphism block characteristic Chevalley groups classical groups codes coefficient commutative complex composition factors conjecture conjugacy classes conjugate COROLLARY corresponding cyclic decomposition defect group defined Deligne-Lusztig denote dimension element elementary abelian example filtration finite field finite groups finite simple groups finite-dimensional Frobenius G-module group algebra group G groups of Lie Hecke algebras Hence homology homomorphism indecomposable induced integer intersection cohomology irreducible characters irreducible representations isomorphism LEMMA Let G Lie algebra Lie type linear Lusztig Math Mathematics Subject Classification matrix modular multiplicity nilpotent nonzero notation p-block p-block of defect p-group p-regular parabolic subgroup partition permutation polynomial prime projective proof Proposition proved reductive groups representation theory resp restriction result ring semisimple sequence sheaf sheaves simple modules split subgroup of G summand Sylow p-subgroup symmetric groups theorem trivial unipotent unique variety weight Weyl group