Enumerative Combinatorics of Young tableaux

✍ Scribed by Shreeram S. Abhyankar

• Publisher: Marcel Dekker
• Year: 1988
• Tongue: English
• Leaves: 540
• Series: Monographs and textbooks in pure and applied mathematics #115
• Category: Library

✦ Table of Contents

Title
Preface
Contents
General Introduction
1. Young Tableaux and Determinantal Polynomials in Binomial Coefficients
1. Introduction
2. Notation and Terminology
3. Summation Lemmas
4. Binomial Lemmas
2. Enumeration of Young Tableaux
5. Preparation for Counting Tableaux
6. Conditional Equivalence of Certain Determinantal Polynomials of Any Width
7. Equivalence of Certain Determinantal Polynomials of Width 2
8. Recursive Relations
9. Counting Tableaux
3. Universal Determinantal Identity
10. Informal Discussion
11. Preview
12. Laplace Development of a Determinant
13. The Basic Case
14. Castification and the Maximal Size Case
15. Unification and the Mixed Size Case
16. The Full Depth Case
17. Partial Order and the Full Depth Case
18. Content and the Full Depth Case
19. An Alternative Treatment of the Full Depth Case
4. Applications to Ideal Theory
20. Hilbertian Ideals and Generalized Second Fundamental Theorem of Invariant Theory
Notation
Index