Examples of algebraic groups of type G (2) having the same maximal tori

Ting-Yu Lee
2016
Journal paper

Abstract

Answering a question of A. Rapinchuk, we construct examples of non-isomorphic semisimple algebraic groups H (1) and H (2) of type G (2) having coherently equivalent systems of maximal k-tori.

Official source

https://infoscience.epfl.ch/record/219923?ln=en

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Examples of algebraic groups of type G (2) having the same maximal tori

Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Multiplicity-free Representations of Algebraic Groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity