Irreducible Geometric Subgroups of Classical Algebraic Groups

· ·
· American Mathematical Soc.
I-Ebook
88
Amakhasi
Izilinganiso nezibuyekezo aziqinisekisiwe  Funda Kabanzi

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Let   be a simple classical algebraic group over an algebraically closed field   of characteristic   with natural module  . Let   be a closed subgroup of   and let   be a non-trivial irreducible tensor-indecomposable  -restricted rational  -module such that the restriction of   to   is irreducible. In this paper the authors classify the triples   of this form, where   is a disconnected maximal positive-dimensional closed subgroup of   preserving a natural geometric structure on  .

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Timothy C. Burness, University of Bristol, United Kingdom, Soumaïa Ghandour, Lebanese University, Nabatieh, Lebanon, and Donna M. Testerman, École Polytechnique Fédérale de Lausanne, Switzerland

 

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