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.
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 10 mm
Gewicht
ISBN-13
978-0-521-35809-5 (9780521358095)
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Schweitzer Klassifikation
1. Abstract Semigroups; 2. Algebraic Geometry ; 3. Linear Algebraic Semigroups; 4. Linear Algebraic Groups; 5. Connected Algebraic Semigroups; 6. Connected Algebraic Monoids; 7. Reductive Groups and Regular Semigroups; 8. Diagonal Monoids; 9. Cross-section Lattices; 10. ?-Structure; 11. Renner's Decomposition and Related Finite Semigroups; 12. Biordered Sets; 13. Tits Building; 14. The System of Idempotents; 15. J-irreducible and J co-reducible Monoids; 16. Renner's Extension Principle and Classification.
