k-Involutions of SL(n,k) over fields of characteristic 2 |
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Authors: | Nathaniel J. Schwartz |
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Affiliation: | Department of Mathematics, Washington College, Chestertown, Maryland, USA |
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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. |
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Keywords: | Algebraic groups characteristic 2 classical groups involutions symmetric k-varieties |
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