Higher-order preconnections in synthetic differential geometry of jet bundles.
Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Chueshev, V.V., Yakubov, È.Kh. (2002)
Sibirskij Matematicheskij Zhurnal
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Kiyasov, S.N. (2000)
Siberian Mathematical Journal
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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,...
A. Fabianom, G. Pucci, A. Yger (1996)
Acta Arithmetica
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Kuznetsov, Yu.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Bousquet-Mélou, Mireille (2006)
Séminaire Lotharingien de Combinatoire [electronic only]
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Hershy Kisilevsky, Francesco Pappalardi (1995)
Acta Arithmetica
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Toshihiro Yamaguchi, Katsuhiko Kuribayashi (1997)
Fundamenta Mathematicae
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Let X be a simply connected space and LX the space of free loops on X. We determine the mod p cohomology algebra of LX when the mod p cohomology of X is generated by one element or is an exterior algebra on two generators. We also provide lower bounds on the dimensions of the Hodge decomposition factors of the rational cohomology of LX when the rational cohomology of X is a graded complete intersection algebra. The key to both of these results is the identification of an important subalgebra...
Boris Mordukhovich, Dong Wang, Lianwen Wang (2008)
Control and Cybernetics
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Karchevskii, A.L. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Chirkov, I. V., Shevelin, M. A. (2002)
Sibirskij Matematicheskij Zhurnal
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