Foulkes conjecture
WebSep 1, 2024 · We prove a conjecture of Lecouvey, which proposes a closed, positive combinatorial formula for symplectic Kostka–Foulkes polynomials, in the case of rows of arbitrary weight. WebA Zero-Multiplicity Problem Related to Foulkes' Conjecture. Ask Question Asked 8 years, 7 months ago. Modified 6 years, 8 months ago. Viewed 769 times 8 $\begingroup$ I'm a …
Foulkes conjecture
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WebJan 15, 2015 · When the field K is the field of complex numbers C, the study of the decomposition into irreducible direct summands of the Foulkes module is closely related to the problem known as Foulkes' Conjecture as stated firstly in [7] by H.O. Foulkes in 1950. Conjecture. Let K = C and let a and n be natural numbers such that a < n. Then H (n a) … S. H. Foulkes was a German-British psychiatrist and psychoanalyst. He developed a theory of group behaviour that led to his founding of group analysis, a variant of group therapy. He initiated the Group Analytic Society, and the Institute of Group Analysis (IGA) in London. In 1933, owing to his Jewish descent, Foulkes emigrated to England. In 1938, he was granted British citizenship and changed his name to S. H. Foulkes.
WebApr 1, 2000 · There is an extensive literature on the conjecture of Foulkes. In [1] Black and List show that the map ψ (b a ) : H (b a ) → H (a b ) is injective when a = 2 and b a. WebIn particular, taking p = n and q = m, Foulkes’ Conjecture holds for λ[mn] for all but finitely many values of m,n ∈N, as does the strengthened Foulkes’ Conjecture. The proof of this result constructs a partition algebra isomorphism which “does not see” any difference between m and n providing they are both sufficiently large. This ...
WebJan 28, 2024 · The Kostka–Foulkes polynomials \(K_{\lambda \mu }(t)\) associated with a pair of partitions \(\lambda , \mu \) have figured prominently in representation theory and algebraic combinatorics (cf. [1, 14]).They have arisen in the context of character theory of the general linear group over the finite field [] in terms of the Hall–Littlewood polynomials []. WebThe original Foulkes‘ conjecture, which dates back to 1949, was stated as a “theorem” (at page 206 of paper) but with no claim that there actually was a proof.As it is, more than …
WebAug 31, 2024 · Ben Ford and Alexander Kleshchev, A proof of the Mullineux conjecture, Math. Z. 226 (1997), 267–308. CrossRef MathSciNet MATH Google Scholar Herbert Foulkes, Concomitants of the quintic and sextic up to degree four in the coefficients of the ground form, J. London Math. Soc. 25 (1950), 205–209.
http://library.navoiy-uni.uz/files/on%20foulkes%20conjecture.pdf flank speed ms teamsWebFeb 1, 2015 · In characteristic zero, the module H (2 m) arises in the first non-trivial case of Foulkes' Conjecture (see [17]). For this reason we call H (2 m) a Foulkes module and H (2 m; k) a twisted Foulkes module. For some recent results on the characters of general Foulkes modules we refer the reader to [18] and [35]. can rocks talkcan rocksmith teach you guitarWebDiscreteMathematics338(2015)1232–1238 Contents lists available atScienceDirect DiscreteMathematics journal homepage:www.elsevier.com/locate/disc can rocksmith teach guitarWebFeb 25, 2016 · We propose a $q$-analog of classical plethystic conjectures due to Foulkes. In our conjectures, a divided difference of plethysms of Hall-Littlewood polynomials $H_n ... can rocks survive electricityWebApr 6, 2024 · The Gaussian inequality is proven for multicomponent rotators with negative correlations between two spin components. In the case of one-component systems, the Gaussian inequality is shown to be a ... flank speed navy microsoft 365WebMar 1, 2008 · The Siemons, Wagner and Stanley (SWS) Conjecture is related to an earlier conjecture by Foulkes [6] that there exists an injective FG-homomorphism H (b a ) … can rocks transform from one type to another