**Proceedings of Symposia in Pure Mathematics**

Volume: 47;
1987;
487 pp;
Hardcover

MSC: Primary 20;

Print ISBN: 978-0-8218-1477-2

Product Code: PSPUM/47.1

List Price: $96.00

Individual Member Price: $76.80

**Electronic ISBN: 978-0-8218-9341-8
Product Code: PSPUM/47.1.E**

List Price: $96.00

Individual Member Price: $76.80

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# The Arcata Conference on Representations of Finite Groups, Part 1

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# Table of Contents

## The Arcata Conference on Representations of Finite Groups, Part 1

- Table of Contents v6 free
- Preface xi12 free
- I. Expository Papers 114 free
- Cohomology is representation theory 316
- Families of irreducible characters of Weyl groups 1326
- Modular representations of algebraic groups 2336
- Varieties for modules 3750
- Irreducible characters of finite groups of Lie type 4558
- The Hecke algebra of a finite Coxeter group 5164
- Shintani descent and £ functions on Deligne-Lusztig varieties 6174
- Good filtrations of rational modules for reductive groups 6982
- Problems in representation theory arising from Galois modules 8194
- Holonomic D-modules in representation theory 87100
- Characters of solvable groups 103116
- The representation theory of the symmetric groups 111124
- Representations of Chevalley groups in their own characteristic 127140
- Shintani lifting and Gelfand-Graev representations 147160
- Introduction to character sheaves 165178
- Finite groups and modular functions 181194
- Representation theory and translation planes 211224
- Modular representation theory and the classification of finite simple groups 223236
- Cohomology of algebraic groups 233246
- Double cosets and modular representation theory 249262
- Recent progress on the isomorphism problem 259272
- Representations and maximal subgroups 275288
- Green functions of reductive groups over a finite field 289302
- Constructing representations from group geometries 303316
- Perverse sheaves and representation theory 315328
- Toward Lusztig's classification of characters 323336
- Tensor product theorems 331344
- Coding theory and representation theory 339352
- Subgroup complexes 349362

- II. Block Theory and Modular Representations 367380
- Weights for finite groups 369382
- Some remarks on the decomposition numbers for the symmetric groups 381394
- On block induction 395408
- Products and projective resolutions 399412
- Extending self-dual modules 409422
- Order-theoretic properties of the center of a block 413426
- Real 2-blocks of S[sub(n)], A[sub(n)] and their double covers 421434
- Hypercohomology varieties for complexes of modules, the readability criterion, and equivalent formulations of a conjecture of Carlsson 431444
- Blocks of projective representations of the symmetric groups 439452
- A condition for the existence of p-blocks of defect 0 443456
- The Loewy structure of projective indecomposable modules for some modular group algebras 447460
- The λ-structure of the Green rings of cyclic p-groups 451464
- On the cohomology of p-constrained groups 467480
- Block invariants in A[sub(n)], Â[sub(n)], and Sˆ[sub(n)] 471484
- On the Loewy structure of the modular group-algebra over a group of small p-length 475488
- Blocks of defect zero and degree problems 481494
- Degrees of Brauer characters in p-solvable groups 485498