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Technical Linear Algebraic Monoids

Posted on 2010-05-16




Name:Technical Linear Algebraic Monoids
ASIN/ISBN:0521358094
Publish Date:1988
Pages:184 pages
File size:1.4 Mb
Publish Date: 1988
ISBN: 0521358094
Pages: 184 pages
File Type: PDF
File Size: 1,4 MB
Other Info: Cambridge University Press
   Technical Linear Algebraic Monoids

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Mohan S. Putcha, "Linear Algebraic Monoids"

This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally.

CONTENTS

Preface

Notation

1. Abstract Semigroups 1

2. Algebraic Geometry 12

3. Linear Algebraic Semigroups 18

4. Linear Algebraic Groups 27

5. Connected Algebraic Semigroups 42

6. Connected Algebraic Monoids 48

7. Reductive Groups and Regular Semigroups 69

8. Diagonal Monoids 80

9. Cross-section Lattices 89

10. c'-Structure 97

11. Renner's Decomposition and Related Finite Semigroups 109

12. Biordered Sets 121

13. Tits Building 129

14. The System of Idempotents 135

15. /-irreducible and /-co-reducible Monoids 146

16. Renner's Extension Principle and Classification 156

References 163

Index 170

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