1977
DOI: 10.3138/9781487575625
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The Collected Papers of Alfred Young 1873–1940

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Cited by 40 publications
(27 citation statements)
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“…Some other works of note from this period include those of Goddard11–14 and his coworkers,15 Gerratt and Lipscomb,16 and then Gerratt,17–20 and his coworkers,21 Matsen,22, 23 and Gallup24–28 and his coworkers,29 together with the text on Spin eigenfunctions by Pauncz 30. Kaplan, Goddard and Matsen used the theory of the symmetric group which had been developed in the early part of the twentieth century by Young,31 whose work is described in the 1948 monograph by Rutherford32 [see also The Collected Papers of Alfred Young (1873–1940) 33 and Turnbull 34. Gerratt built on the work of Kotani and his coworkers35, 36 using the coupling of spin angular momenta, who in turn built on the earlier work of Yamonouchi 37, 38…”
Section: Introductionmentioning
confidence: 99%
“…Some other works of note from this period include those of Goddard11–14 and his coworkers,15 Gerratt and Lipscomb,16 and then Gerratt,17–20 and his coworkers,21 Matsen,22, 23 and Gallup24–28 and his coworkers,29 together with the text on Spin eigenfunctions by Pauncz 30. Kaplan, Goddard and Matsen used the theory of the symmetric group which had been developed in the early part of the twentieth century by Young,31 whose work is described in the 1948 monograph by Rutherford32 [see also The Collected Papers of Alfred Young (1873–1940) 33 and Turnbull 34. Gerratt built on the work of Kotani and his coworkers35, 36 using the coupling of spin angular momenta, who in turn built on the earlier work of Yamonouchi 37, 38…”
Section: Introductionmentioning
confidence: 99%
“…Y = ∏ i+ j≤n (1 − y j /x i )) one generates polynomials Y v which are called Schubert polynomials [29,34] (resp. This notion underlies Young's contructions [45], consistency arising from Yang-Baxter relations. We shall call a data: permutohedron + initial Y + consistent labelling a Yang-Baxter graph for the symmetric group, and the elements Y v , v ∈ S n , Yang-Baxter elements.…”
Section: Introductionmentioning
confidence: 91%
“…In particular we have an action of the group S(n) on the vector space consisting of all R-linear combinations of the standard Young tableaux of shape λ. Young's theorem [24] says that this is a representation of S(n) which is known as Young's orthogonal representation. Let π be a permutation of S(n) which is in the standard form:…”
Section: Application Of Young's Orthogonal Representationmentioning
confidence: 99%