On Shioda's problem about Jacobi sums
Hiroo Miki (1995)
Acta Arithmetica
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Hiroo Miki (1995)
Acta Arithmetica
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Winkel, Rudolf (1996)
Séminaire Lotharingien de Combinatoire [electronic only]
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Kuznetsov, Yu.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Kaori Ota (1994)
Acta Arithmetica
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Stanislav Jakubec (2000)
Acta Arithmetica
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Hog-Angeloni, Cynthia, Metzler, Wolfgang (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Shigeki Akiyama (1996)
Acta Arithmetica
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Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon (1996)
Banach Center Publications
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Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form,...
Kreweras, Germain (1990)
Séminaire Lotharingien de Combinatoire [electronic only]
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Morse, Jennifer (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
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Yangbo Ye (1998)
Acta Arithmetica
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Robin Chapman (2000)
Acta Arithmetica
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We define a class of generalized Dedekind sums and prove a family of reciprocity laws for them. These sums and laws generalize those of Zagier [6]. The method is based on that of Solomon [5].