The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and self-contained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra.
The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and self-contained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra.
1: Projective representations and representation groups 2: Representation groups for the symmetric group 3: A construction for groups 4: Representations of objects in G 5: A construction for negative representations 6: The basic representation 7: The Q-functions 8: The irreducible negative representation of Sn 9: Explicit Q-functions 10: Reduction, branching and degree formulae 11: Construction of the irreducible negative representations 12: Combinatorial and skew Q-functions 13: The shifted Knuth algorithm 14: Deeper insertion, evacuation and the product theorem References Character tables Indices
1: Projective representations and representation groups 2: Representation groups for the symmetric group 3: A construction for groups 4: Representations of objects in G 5: A construction for negative representations 6: The basic representation 7: The Q-functions 8: The irreducible negative representation of Sn 9: Explicit Q-functions 10: Reduction, branching and degree formulae 11: Construction of the irreducible negative representations 12: Combinatorial and skew Q-functions 13: The shifted Knuth algorithm 14: Deeper insertion, evacuation and the product theorem References Character tables Indices
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