Linear Algebraic Monoids

This book provides an introduction to the field of linear algebraic monoids.

Mohan S. Putcha (Author)

9780521358095, Cambridge University Press

Paperback, published 25 August 1988

184 pages
22.8 x 15.2 x 1.4 cm, 0.292 kg

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.

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.

Subject Areas: Algebra [PBF]