Articles with "algebraic groups" as a keyword



Strictly transversal slices to conjugacy classes in algebraic groups

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Published in 2019 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.11.008

Abstract: Acknowledgements The author is grateful to Dave Benson for his help with the MAGMA software and to Institut des Hautes Etudes Scientifiques where this work was completed. read more here.

Keywords: classes algebraic; transversal slices; algebraic groups; strictly transversal ... See more keywords

Conjugacy of Levi subgroups of reductive groups and a generalization to linear algebraic groups

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Published in 2020 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2019.106254

Abstract: Abstract We investigate Levi subgroups of a connected reductive algebraic group G , over a ground field K. We parametrize their conjugacy classes in terms of sets of simple roots and we prove that two… read more here.

Keywords: conjugacy levi; linear algebraic; levi subgroups; algebraic groups ... See more keywords

J -INVARIANT OF LINEAR ALGEBRAIC GROUPS OF OUTER TYPE

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Published in 2025 at "Journal of the Institute of Mathematics of Jussieu"

DOI: 10.1017/s1474748025101412

Abstract: We extend the notion of the J -invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-split twisted flag varieties. Besides, we establish some combinatorial… read more here.

Keywords: groups outer; outer type; algebraic groups; linear algebraic ... See more keywords
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Transcendence on algebraic groups

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Published in 2024 at "Forum Mathematicum"

DOI: 10.1515/forum-2023-0078

Abstract: Abstract In this paper, we give some new results on transcendence on algebraic groups. These results extend some previous ones established on commutative or linear algebraic groups to arbitrary algebraic groups in complex and p-adic… read more here.

Keywords: transcendence algebraic; algebraic groups;