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# SpinSym

## Brauer tables of spin-symmetric groups

Version 1.5.2

1 October 2019

Lukas Maas
Email: maasluk@gmail.com

### Copyright

© 2012 Lukas Maas

The SpinSym GAP package is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program (see the file LICENSE). If not, see http://www.gnu.org/licenses/.

### Contents

1 Introduction
1.1 The data part
1.2 The functions part
1.3 Installation and loading
2 Usage and features
2.1 Accessing the tables
2.2 Character parameters
2.2-1 Parameters of ordinary characters
2.2-2 Parameters of modular characters
2.3 Class parameters
2.3-1 SpinSymStandardRepresentative
2.3-2 SpinSymStandardRepresentativeImage
2.3-3 SpinSymPreimage
2.3-4 SpinSymBrauerCharacter
2.3-5 SpinSymBasicCharacter
2.4 Young subgroups
2.4-1 SpinSymCharacterTableOfMaximalYoungSubgroup
2.4-2 SpinSymBrauerTableOfMaximalYoungSubgroup
2.5 Class Fusions
2.5-1 SpinSymClassFusion
2.5-2 SpinSymClassFusion2Ain2S
2.5-3 SpinSymClassFusion2Sin2S
2.5-4 SpinSymClassFusion2Ain2A
2.5-5 SpinSymClassFusion2Sin2A
2.5-6 SpinSymClassFusion2SSin2S
2.5-7 SpinSymClassFusion2SAin2SS
2.5-8 SpinSymClassFusion2ASin2SS
2.5-9 SpinSymClassFusion2AAin2SA
2.5-10 SpinSymClassFusion2AAin2AS
2.5-11 SpinSymClassFusion2AAin2A
References
Index
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