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Modular Representations of Finite Groups of Lie Type Book

Modular Representations of Finite Groups of Lie Type
Modular Representations of Finite Groups of Lie Type, Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe, Modular Representations of Finite Groups of Lie Type has a rating of 3 stars
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Modular Representations of Finite Groups of Lie Type, Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe, Modular Representations of Finite Groups of Lie Type
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  • Modular Representations of Finite Groups of Lie Type
  • Written by author James E. Humphreys
  • Published by Cambridge University Press, December 2005
  • Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe
  • Comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
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Book Categories

Authors

1Finite groups of Lie type1
2Simple modules9
3Weyl modules and Lusztig's conjecture21
4Computation of weight multiplicities33
5Other aspects of simple modules41
6Tensor products53
7BN-pairs and induced modules61
8Blocks67
9Projective modules75
10Comparison with Frobenius kernels87
11Cartan invariants101
12Extensions of simple modules115
13Loewy series129
14Cohomology143
15Complexity and support varieties151
16Ordinary and modular representations159
17Deligne-Lusztig characters171
18The groups G[subscript 2](q)185
19General and special linear groups197
20Suzuki and Ree groups205


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Modular Representations of Finite Groups of Lie Type, Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe, Modular Representations of Finite Groups of Lie Type

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Modular Representations of Finite Groups of Lie Type, Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe, Modular Representations of Finite Groups of Lie Type

Modular Representations of Finite Groups of Lie Type

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Modular Representations of Finite Groups of Lie Type, Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the represe, Modular Representations of Finite Groups of Lie Type

Modular Representations of Finite Groups of Lie Type

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