Affine Grassmannians for triality groups
نویسندگان
چکیده
We study affine Grassmannians for ramified triality groups. These groups are of type D43, so they forms the orthogonal or spin in 8 variables. They can be given as automorphisms certain twisted composition algebras obtained from octonion algebras. Using these algebras, we give descriptions functors classifying suitable lattices a fixed space.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.05.014