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k-Involutions of SL(n,k) over fields of characteristic 2
Authors:Nathaniel J. Schwartz
Affiliation:Department of Mathematics, Washington College, Chestertown, Maryland, USA
Abstract:Symmetric k-varieties generalize Riemannian symmetric spaces to reductive groups defined over arbitrary fields. For most perfect fields, it is known that symmetric k-varieties are in one-to-one correspondence with isomorphy classes of k-involutions. Therefore, it is useful to have representatives of each isomorphy class in order to describe the k-varieties. Here we give matrix representatives for each isomorphy class of k-involutions of SL(n,k) in the case that k is any field of characteristic 2; we also describe fixed-point groups of each type of involution.
Keywords:Algebraic groups  characteristic 2  classical groups  involutions  symmetric k-varieties
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