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Technical Linear Algebraic Monoids
Posted on 2010-05-16
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More 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 Download Not all books ... appear on the homepage. In order not to miss many of them follow ebooks section (see top of each page on AH)
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