Some Computations Regarding Foulkes' Conjecture
نویسندگان
چکیده
منابع مشابه
Some Computations Regarding Foulkes' Conjecture
We describe how certain permutation actions of large symmetric groups can be efficiently implemented on a computer. Using a specially tailored adaptation of a general technique to enumerate huge orbits, and substantial distributed computation on a cluster of workstations, we collect further evidence related to the approach to Foulkes’ conjecture suggested in [Black and List, 1989]. 1 Foulkes’ c...
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plays an important role in the Garsia-Haglund proof of the q, t-Catalan conjecture, [2]. Let ΛQ(q,t) be the space of symmetric functions of degree n, over the field of rational functions Q(q, t), and let ∇ : ΛQ(q,t) → ΛQ(q,t) be the Garsia-Bergeron operator. By studying recursions, Garsia and Haglund show that the coefficient of the elementary symmetric function en(X) in the image∇(En,k(X)) of ...
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Let $P$ be a complex polynomial of the form $P(z)=zdisplaystyleprod_{k=1}^{n-1}(z-z_{k})$,where $|z_k|ge 1,1le kle n-1$ then $ P^prime(z)ne 0$. If $|z|
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2005
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2005.10128928