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pro vyhledávání: '"Willems, Matthieu"'
Autor:
Willems, Matthieu
Depuis une quarantaine d'années, de nombreux algorithmes et logiciels ont été développés pour inférer des arbres phylogénétiques. Cependant, certains phénomènes biologiques comme l'hybridation ou le transfert latéral de gènes ne peuvent p
Externí odkaz:
http://www.archipel.uqam.ca/5015/1/M12530.pdf
The octonionic flag manifold $Fl(\mathbb{O})$ is the space of all pairs in $\mathbb{O}P^2\times \mathbb{O}P^2$ (where $\mathbb{O}P^2$ denotes the octonionic projective plane) which satisfy a certain "incidence" relation. It comes equipped with the pr
Externí odkaz:
http://arxiv.org/abs/0809.4318
We consider the manifold $Fl_n(\mathbb{H})=Sp(n)/Sp(1)^n$ of all complete flags in $\mathbb{H}^n$, where $\mathbb{H}$ is the skew-field of quaternions. We study its equivariant $K$-theory rings with respect to the action of two groups: $Sp(1)^n$ and
Externí odkaz:
http://arxiv.org/abs/0710.3766
Autor:
Willems, Matthieu
The aim of this paper is to give a recursive formula to multiply a line bundle with the structure sheaf of a schubert variety in the equivariant $K$-theory of a flag variety.
Externí odkaz:
http://arxiv.org/abs/math/0603220
Autor:
Willems, Matthieu
We construct a basis of the equivariant $K$-theory of Bott towers, and we describe precisely the multiplicative structure of these algebras. We deduce similar results for Bott-Samelson varieties. Thanks to the link between flag varieties and Bott-Sam
Externí odkaz:
http://arxiv.org/abs/math/0412152
Autor:
Willems, Matthieu
We determine the structure of the equivariant cohomology and $K$-theory of Bott towers. By restriction, we obtain similar results for Bott-Samelson varieties. This results allow us to describe more precisely the equivariant cohomology and $K$-theory
Externí odkaz:
http://arxiv.org/abs/math/0311079
Autor:
Willems, Matthieu
The aim of this text is to give an explicit formula for the restriction to fixed points of a basis of the equivariant K-theory of the flag varieties and of the Bott-Samelson varieties.
Externí odkaz:
http://arxiv.org/abs/math/0204265
Autor:
Willems, Matthieu
In this text, We compute the equivariant cohomology of Bott-Samelson varieties. Thanks to this computation, we give a new demonstration for the formulas proved by Sarah Billey for the equivariant cohomology of Schubert varieties.
Comment: 6 page
Comment: 6 page
Externí odkaz:
http://arxiv.org/abs/math/0201050
Publikováno v:
In Information Sciences July 2017 393:29-46
Autor:
Willems, Matthieu
Publikováno v:
In Journal of Algebra 2007 308(2):764-779