Zobrazeno 1 - 10 of 62 pro vyhledávání: '"Groupes algébriques"'
1
Equivalences of (co)module algebra structures over Hopf algebras
Autor: Ana Agore, Alexey Sergeevich Gordienko, Joost Vercruysse
Publikováno v: Journal of Noncommutative Geometry
We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) equivalence of gradings. We show that for each equivalence class of (co)module algebra structures on a given algebr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85ffa6388f56ab0447d6fd37acc22a2d
https://doi.org/10.4171/jncg/428
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2
Partial corepresentations of Hopf algebras
Autor: Joost Vercruysse, Felipe Nalon Castro, Marcelo Muniz S. Alves, Glauber Quadros, Eliezer Batista
Publikováno v: Journal of algebra, 577
We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C and the closely related concept of a partial H-comodule. We prove that there exists a universal coalgebra Hpar, associated to the original Hopf algebra
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0721d71aa1bbcb8ebb4b7cef1cc9a1a3
https://doi.org/10.1016/j.jalgebra.2021.03.001
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3
Vers une présentation de Bernstein de la catégorie de Hecke affine
Autor: Maltoni, Leonardo
The affine Hecke algebra has a remarkable commutative subalgebra corresponding to the coroot lattice inside the affine Weyl group. Its nature is encoded in the Bernstein presentation and reveals some fundamental representation theoretic properties of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______166::d8a3a7ce7bff196f6342985899931ee6
https://theses.hal.science/tel-03873708v2
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4
The Frobenius morphism in invariant theory II
Autor: Spenko, Spela, Raedschelders, Theo, Van Den Bergh, Michel
Publikováno v: arXiv.org
Let $R$ be the homogeneous coordinate ring of the Grassmannian $\mathbb{G}=Gr(2,n)$ defined over an algebraically closed field $k$ of characteristic $p \geq \max\{n-2,3\}$. In this paper we give a description of the decomposition of $R$, considered a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25942184a99f65a7f9bcee555520180e
https://doi.org/10.1016/j.aim.2022.108587
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6
Arithmetic groups and diophantine approximation
Autor: de Saxcé, Nicolas
Publikováno v: Théorie des nombres [math.NT]. Université Sorbonne Paris Nord, 2021
We develop a theory of diophantine approximation on generalized flag varieties, varieties that can be obtained as a quotient of a semisimple algebraic Q-group by a parabolic Q-subgroup. Using methods from the theory of arithmetic groups, due in parti
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3d92dc8136921b6a611fff78f8f43bbc
https://hal.archives-ouvertes.fr/tel-03298786
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9
Abondance de points rationnels
Autor: Demeio, Julian Lawrence
Publikováno v: Algebraic Geometry [math.AG]. Université Paris-Saclay; Scuola normale superiore (Pise, Italie), 2021. English. ⟨NNT : 2021UPASM049⟩
For a smooth algebraic variety X defined over a number field K, one could ask several questions about the abundance of its rational points. This thesis revolves, in particular, around the following three properties: Hilbert Property, weak approximati
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7d754f930f3a433716b5354e85c29ab4
https://hdl.handle.net/21.11116/0000-000C-EAC2-121.11116/0000-000C-EAC4-F
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10
Sur les invariants cohomologiques des groupes algébriques linéaires
Autor: Lourdeaux, Alexandre
Publikováno v: Théorie des groupes [math.GR]. Université de Lyon, 2020. Français. ⟨NNT : 2020LYSE1044⟩
Our thesis deals with the cohomological invariants of smooth and connected linear algebraic groups over an arbitrary field. More precisely, we study degree 2 invariants with coefficients Q/Z(1), that is invariants taking values in the Brauer group. O
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2592::ed1571bf98bf9245918acac489fdb486
https://tel.archives-ouvertes.fr/tel-02890182/file/TH2020LOURDEAUXALEXANDRE.pdf
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