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The q, t-Catalan numbers and the space of diagonal harmonics : with an appendix on the combinatorics of Macdonald polynomials / James Haglund.
- Format:
- Book
- Author/Creator:
- Haglund, James.
- Series:
- University Lecture Series, v. 41
- Language:
- English
- Subjects (All):
- Symmetric functions.
- Combinatorial analysis.
- Polynomials.
- Harmonic functions.
- Catalan numbers (Mathematics).
- Physical Description:
- 1 online resource (viii, 167 p. : ill.)
- Place of Publication:
- Providence, R.I. : American Mathematical Society, c2008.
- System Details:
- Mode of access : World Wide Web
- Contents:
- Chapter 1. Introduction to $q$-analogues and symmetric functions Chapter 2. Macdonald polynomials and the space of diagonal harmonics Chapter 3. The $q, t$-Catalan numbers Chapter 4. The $q, t$-Schröder polynomial Chapter 5. Parking functions and the Hilbert series Chapter 6. The shuffle conjecture Chapter 7. The proof of the $q, t$-Schröder theorem Appendix A. The combinatorics of Macdonald polynomials Appendix B. The Loehr-Warrington conjecture Appendix C. Solutions to exercises
- Notes:
- Includes bibliographical references (p. 163-167).
- Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
- Description based on print version record.
- Other Format:
- Print version: Haglund, James. q, t-Catalan numbers and the space of diagonal harmonics :
- ISBN:
- 9781470421854 (online)
- Access Restriction:
- Restricted for use by site license.
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