Representation theory of finite monoids. (2016)

• Record Type: Book
• Further Information: Note: Benjamin Steinberg.
• Authors: Steinberg, Benjamin
• Contents: ​Preface.- List of Figures.- Introduction.- I. Elements of Monoid Theory.- 1. The Structure Theory of Finite Monoids.- 2. R-trivial Monoids.- 3. Inverse Monoids.- II. Irreducible Representations.- 4. Recollement: The Theory of an Idempotent.- 5. Irreducible Representations.- III. Character Theory.- 6. Grothendieck Ring.- 7. Characters and Class Functions.- IV. The Representation Theory of Inverse Monoids.- 8. Categories and Groupoids.- 9. The Representation Theory of Inverse Monoids.- V. The Rhodes Radical.- 10. Bi-ideals and R. Steinberg's Theorem.- 11. The Rhodes Radical and Triangularizability.- VI. Applications.- 12. Zeta Functions of Languages and Dynamical Systems.- 13. Transformation Monoids.- 14. Markov Chains.- VII. Advanced Topics.- 15. Self-injective, Frobenius and Symmetric Algebras.- 16. Global Dimension.- 17. Quivers of Monoid Algebras.- 18. Further Developments.- A. Finite Dimensional Algebras.- B. Group Representation Theory.- C. Incidence Algebras and Möbius Inversion.- References.- Index of Notation.- Subject Index.
• Publisher Details: Cham : Springer
• Publication Date: 2016
• Copyright Date: 2016
• Extent: 1 online resource (320 pages)
• Subjects: 512.55; Mathematics; Monoids; Representations of groups; Mathematics -- Probability & Statistics -- General; Mathematics -- Combinatorics; Probability & statistics; Combinatorics & graph theory; Group theory; Distribution (Probability theory); Combinatorics; Mathematics -- Algebra -- Abstract; Groups & group theory
• Languages: English
• ISBNs: 9783319439327
• Related ISBNs: 9783319439303
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.