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pro vyhledávání: '"Uhlin, Joakim"'
Autor:
Uhlin, Joakim
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 sum
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-241919
Publikováno v:
Combinatorial Theory, 1, (2021)
We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type A and type B. Moreover, we refine many of the known instances of the CSP on Catalan objects. For example, we consider triangulations refined by the numbe
Externí odkaz:
http://arxiv.org/abs/2010.11157
Publikováno v:
Forum of Mathematics, Sigma , Volume 9 , 2021 , e41
In 2010, B. Rhoades proved that promotion together with the fake-degree polynomial associated with rectangular standard Young tableaux give an instance of the cyclic sieving phenomenon. We extend this result to all skew standard Young tableaux where
Externí odkaz:
http://arxiv.org/abs/2004.01140
Autor:
Alexandersson, Per, Uhlin, Joakim
Publikováno v:
Algebraic Combinatorics, Volume 3 (2020) no. 4, pp. 913-939
When $\lambda$ is a partition, the specialized non-symmetric Macdonald polynomial $E_{\lambda}(x;q;0)$ is symmetric and related to a modified Hall--Littlewood polynomial. We show that whenever all parts of the integer partition $\lambda$ is a multipl
Externí odkaz:
http://arxiv.org/abs/1908.00083
Akademický článek
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Autor:
Uhlin, Joakim
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 sum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4650ab58600210b155f74196e289c74e
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-241919
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-241919