Combinatorics of Macdonald polynomials and cyclic sieving

In this thesis, we study the non-symmetric Macdonald polynomials E_λ (x;q,t) at t=0 from a combinatorial point of view, using the combinatorial formula found by J. Haglund, M. Haiman, and N. Loehr. Our primary focus is when λ is a partition. We summarize the known theory about this specialization an...

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Bibliographic Details
Main Author: Uhlin, Joakim
Format: Others
Language:English
Published: KTH, Matematik (Avd.) 2019
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-241919