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International Conference "Advances in Algebra and Applications"
June 25, 2022 12:20–13:10, Minsk, Zoom
 


Realizing Root Systems, their Weyl Groups, and Root Lattices in Number Fields

V. L. Popov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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MP4 194.1 Mb

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Abstract: As is known, the set of all algebraic integers with norm 1 and 3 in a cyclotomic field generated by a cubic root of unity, is the root system of type $G_2$. The talk is aimed to discuss the possibility of realizing root systems, their Weyl groups, and root lattices in the form of objects naturally associated with number fields.

Language: English
 
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