LAUSR

Metric ultraproducts of classical groups

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0 Published in 2017 at "Archiv der Mathematik"

DOI: 10.1007/s00013-017-1087-3

Abstract: Simple non-discrete metric ultraproducts of classical groups are geodesic spaces with respect to a natural metric. read more here.

Keywords: classical groups; metric ultraproducts; ultraproducts classical;

Presentations on standard generators for classical groups

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0 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.07.024

Abstract: For each family of finite classical groups, and their associated simple quotients, we provide an explicit presentation on a specific generating set of size at most 8. Since there exist efficient algorithms to construct this… read more here.

Keywords: presentations standard; generators classical; classical groups; standard generators ... See more keywords

Branching laws for classical groups: the non-tempered case

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1 Published in 2020 at "Compositio Mathematica"

DOI: 10.1112/s0010437x20007496

Abstract: This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier formulated for tempered or more generally generic L-packets to Arthur packets, especially for the non-generic L-packets arising from Arthur parameters. The paper introduces the key… read more here.

Keywords: groups non; classical groups; laws classical; non tempered ... See more keywords

Robinson’s conjecture for classical groups

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1 Published in 2019 at "Journal of Group Theory"

DOI: 10.1515/jgth-2018-0177

Abstract: Abstract Robinson’s conjecture states that the height of any irreducible ordinary character in a block of a finite group is bounded by the size of the central quotient of a defect group. This conjecture had… read more here.

Keywords: robinson conjecture; conjecture classical; classical groups; group ... See more keywords