Lie algebra associated with linear group

DOI10.1080/00927878108822696zbMath0476.16024OpenAlexW2104386553MaRDI QIDQ3933134

M. B. Smirnov, Alexander E. Zalesskij

Publication date: 1981

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878108822696

zbMATH Keywords

groups of unitsLie ringLie bracketskew-symmetric elementsrings with involutionsimple algebrasolvable Lie ringLie solvabilitynilpotent Lie ringLie structure in associative rings

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item, Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity, Rings related to automorphism groups, Bounded Engel and solvable unitary units in group rings, Skew-symmetric elements of rational group algebras, ANTISYMMETRIC ELEMENTS IN GROUP RINGS, Associative rings, ANTISYMMETRIC ELEMENTS IN GROUP RINGS II, Antisymmetric elements in group rings with an orientation morphism

Cites Work

• Unnamed Item
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• Rings with involution
• On the classification of the classical groups
• Lie Solvable Group Rings