| ISBN |
9783319439327 |
| 기타 표준번호 |
10.1007/978-3-319-43932-7 |
| 청구기호 |
QA174-183 |
| 형태사항 |
XXIV, 320 p. 28 illus., 15 illus. in color. online resource.
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| 언어 |
English |
| 내용 |
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.
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| 주제 |
Mathematics.
Group theory.
Probabilities.
Combinatorics.
Mathematics.
Group Theory and Generalizations.
Probability Theory and Stochastic Processes.
Combinatorics.
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| 보유판 및 특별호 저록 |
Springer eBooks
Printed edition: 9783319439303
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| QR CODE |
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