Contents
Introduction v
Synopsis vi i
Notation Guid e xx i
Chapter 1. Th e Superalgebr a Supe r [J4]
0. Introduction 1
1. Definitions 2
2. Constructio n o f the Superalgebr a Super [A] 4
3. Tenso r Product s 6
4. Th e Coproduc t A 7
5. The Coassociativ e La w 9
Chapter 2 . Laplac e Pairing s
0. Introduction 13
1. The Fourfol d Algebr a 15
2. The Laplac e Pairin g 16
3. Example s 2 0
4. The Tablea u o f Two Word s 2 2
Chapter 3 . Th e Standar d Basi s Theore m
0. Introduction 2 5
1. Definitions, Statemen t o f Theorem 2 6
2. Spannin g 2 9
3. A Bilinea r Z-value d For m 3 4
4. Gale-Ryse r Interpolatin g Matrice s 3 6
5. Proof o f Theorem 8 , (iv ) 3 8
Chapter 4 . Invarian t Theor y
0. Introduction 4 1
1. Definitions 4 2
2. The Actio n o f GL n(K) o n Super [L | P) 4 4
3. Th e Umbra l Linea r Functiona l 4 7
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