霍普夫代数

王朝导购·作者佚名

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　　分类: 图书,自然科学,数学,几何与拓扑,

作者：（日）英一安倍晋三著

出版社：

出版时间： 2009-5-1字数：版次： 1页数： 284印刷时间：开本： 24开印次：纸张：I S B N ： 9787510004568包装：平装目录

Preface

Notation

1 Modules and algebras

1．Modules

2．Algebras over a commutative ring

3．Lie algebras

4．Semi-simple algebras

5．Finitely generated commutative algebras

2 Hopf algebras

1．Bialgcbras and Hopf algebras

2．The representative bialgebras of semigroups

3．The duality between algebras and coalgebras

4．Irreducible bialgebras

5．Irreducible cocommutative biaIgebras

3 Hopr algebras and relnmmamtlom of group

1．Comodules and bimodules

2．Bimodules and biaIgebms

3．Integrals for Hopf algebras

4．The duality theorem

4 ApplimlJons to algebraic groups

1．Affme k-varieties

2．Atone k-groups

3．Lie algebras of affme algebraic k-groups

4．Factor groups

5．Unipotent groups and solvable groups

6．Completely reducible groups

5 Applications to field theory

1．K／k—bialgebras

2．Jacobson's theorem

3．Modular extensions

Appendix：Categories and functors

A．1 Categories

A．2 Functors

A．3 Adjoint functors

A．4 Representable functors

A．5 φ-groups andφ-cogroups

References

Index