Decomposition of projective spaces defined by unit-regular jordan pairs |
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Authors: | Ottmar Loos |
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Institution: | Institut fur Mathematik , Universitdt Innsbruck , Innsbruck, Austria, A-6020 |
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Abstract: | An analogue of the Bialynicki-Birula decomposition of a smooth algebraic variety under an action of the multiplicative group is shown to hold for spaces obtained from Jordan pairs by projective equivalence. The methods are Jordan-theoretic rather than algebraic-geometric and involve unit-regularity and rank functions for Jordan pairs. |
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