We study the correspondence between equivalence classes of pairs consisting of real semisimple Lie algebras and their Cartan subalgebras and involutions of the corresponding root system. This can be graphically described by introducing S- and Sigma- diagrams , generalizing those of Satake and Vogan. (c) 2024 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Root involutions, real forms and diagrams / Marini, S.; Medori, C.; Nacinovich, M.. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 42:5(2024). [10.1016/j.exmath.2024.125593]
Root involutions, real forms and diagrams
Marini S.
;Medori C.;Nacinovich M.
2024-01-01
Abstract
We study the correspondence between equivalence classes of pairs consisting of real semisimple Lie algebras and their Cartan subalgebras and involutions of the corresponding root system. This can be graphically described by introducing S- and Sigma- diagrams , generalizing those of Satake and Vogan. (c) 2024 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).File in questo prodotto:
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