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Very special algebraic groups
Published 2020-10-01“…It is known that every split solvable linear algebraic group is very special. In this note, we show that the converse holds, and discuss its relationship with the birational classification of algebraic group actions.…”
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Algebraic groups and their tangent spaces
Published 2022“…We used `An Introduction to Algebraic Geometry and Algebraic Groups' by Geck as the primary reference. This report develops the theory as explicitly as possible to introduce the reader to ideas in classical algebraic geometry, and how they can be used to construct Lie groups and Lie algebras.…”
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Final Year Project (FYP) -
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Alperin's conjecture for algebraic groups
Published 2008“…We prove analogues for reductive algebraic groups of some results for finite groups due to Knörr and Robinson from 'Some remarks on a conjecture of Alperin', J. …”
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Cohomology of simple modules for algebraic groups
Published 2020-03-01Subjects: “…algebraic group…”
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Semisimplification for subgroups of reductive algebraic groups
Published 2020-01-01“…Let G be a reductive algebraic group—possibly non-connected—over a field k, and let H be a subgroup of G. …”
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