On nilpotent generators of the symplectic Lie algebra

DOI10.1080/03081087.2020.1734522OpenAlexW3006954158WikidataQ115299073 ScholiaQ115299073MaRDI QIDQ5862367

Alisa Chistopolskaya

Publication date: 9 March 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.04065

zbMATH Keywords

generatorsLie algebranilpotentsymplectomorphismroot decomposition

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Linear transformations, semilinear transformations (15A04) Root systems (17B22)

Cites Work

• Unnamed Item
• On nilpotent generators of the Lie algebra \(\mathfrak{sl}_n\)
• Infinite transitivity, finite generation, and Demazure roots
• 2-generation of simple Lie algebras and free dense subgroups of algebraic groups
• Generators of simple Lie algebras in arbitrary characteristics
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• On Everywhere Dense Imbedding of Free Groups in Lie Groups
• On the generators of semisimple Lie algebras

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