Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493297 | Journal of Algebra | 2005 | 32 Pages |
Abstract
Let F be a field of characteristic â 2, D a quaternion division algebra over F, K a subfield of D, Ï an involutory automorphism of K, Φ0 a non-degenerate Ï-skew-Hermitian form in three variables over K whose Witt index is 1. Suppose that K contains a subfield K0 of F such that each element of K0 is invariable under Ï and F is algebraic over K0. We study the irreducible subgroups of GL4(D) that contain the subgroup diag(T3(K,Φ0),1).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Evgenii L. Bashkirov,