Journal of the Ramanujan Mathematical Society

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Conjugacy Classes of Centralizers in G2


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1 Indian Institute of Science Education and Research, Central Tower, Sai Trinity Building, Garware Circle, Sutarwadi, Pashan, Pune 411 021, India
     

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Let k be a perfect field of characteristic ≠ 2. Let G be an algebraic group of type G2 defined over k. In this paper we calculate centralizers of elements in anisotropic G2. Using this, we show explicitly that there are six z-classes (conjugacy classes of centralizers) in the compact real form of G2.
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  • Conjugacy Classes of Centralizers in G2

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Authors

Anupam Singh
Indian Institute of Science Education and Research, Central Tower, Sai Trinity Building, Garware Circle, Sutarwadi, Pashan, Pune 411 021, India

Abstract


Let k be a perfect field of characteristic ≠ 2. Let G be an algebraic group of type G2 defined over k. In this paper we calculate centralizers of elements in anisotropic G2. Using this, we show explicitly that there are six z-classes (conjugacy classes of centralizers) in the compact real form of G2.