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On combinatorial formulas for Macdonald polynomials by Cristian Lenart is a Mathematics article available to read on EtoBox.
What is On combinatorial formulas for Macdonald polynomials about?
A recent breakthrough in the theory of (type A) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of a pair of statistics on fillings of Young diagrams. Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of so-called alcove walks; these originate in the work of Gaussent-Littelmann and of the author with Postnikov on discrete counterparts to the Littelmann path model. In this paper, we relate the above developments, by explaining how the Ram-Yip formula compresses to a new formula, which is similar to the Haglund-Haiman-Loehr one but contains considerably fewer terms.
Who reads On combinatorial formulas for Macdonald polynomials?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Cristian Lenart
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)