### Explicit plethystic formulas for Macdonald $(q,t)$-Kostka coefficients.

Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

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Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

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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,...

Ostrover, Yaron (2006)

Algebraic & Geometric Topology

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Maksa, Gyula, Nizsalóczki, Enikő (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Kuang, Wei-Ping, Sun, Yong, Wang, Zhi-Gang (2009)

Bulletin of Mathematical Analysis and Applications [electronic only]

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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...

John R. Burke (1995)

Acta Arithmetica

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Rudolf Ahlswede, Levon H. Khachatrian (1996)

Acta Arithmetica

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Alimohammady, M., Shahmari, A. (2009)

The Journal of Nonlinear Sciences and its Applications

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Wojciech Andrzejewski, Aleksiej Tralle (1994)

Fundamenta Mathematicae

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We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.

A. Fabianom, G. Pucci, A. Yger (1996)

Acta Arithmetica

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Yushchenko, A. V. (2002)

Sibirskij Matematicheskij Zhurnal

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