Examples of algebraic groups of type G2 having the same maximal tori
Constantin Beli, Philippe Gille, Ting-Yu Lee
TL;DR
This paper constructs examples of non-isomorphic algebraic groups of type G2 that share the same maximal tori, addressing a question in the classification of algebraic groups.
Contribution
It provides explicit examples of non-isomorphic G2 groups with coherently equivalent maximal tori, answering a previously open question.
Findings
Examples of non-isomorphic G2 groups with identical maximal tori
Addresses a question posed by A. Rapinchuk
Advances understanding of algebraic group classification
Abstract
Answering a question of A. Rapinchuk, we construct examples of non- isomorphic semisimple algebraic groups H1 and H2 of type G2 with coherently equivalent systems of maximal k-tori.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology