Identical relations in Lie algebras
DOI10.1515/9783110566659zbMath1487.17001OpenAlexW4213293599MaRDI QIDQ2028709
Publication date: 1 June 2021
Published in: De Gruyter Expositions in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/9783110566659
Hopf algebrasgraded algebrasLie algebrasfree Lie algebraspolynomial identitiesEngel Lie algebrasgraded identitiesrestricted Lie algebrasmultilinear polynomialscodimension sequencefinite basis of identitiesspecial Lie algebrasvarieties of Lie algebrasPI exponentgrowth of codimensionsfinite Lie algebrasHilpert seriesidentical relations in Lie algebrassubalgebras of free Lie algebras
Finite rings and finite-dimensional associative algebras (16P10) Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Structure theory for Lie algebras and superalgebras (17B05) Superalgebras (17A70) Solvable, nilpotent (super)algebras (17B30) Quasivarieties and varieties of groups (20E10) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Rings with polynomial identity (16Rxx)
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