Intermediate growth in Lie algebras and their enveloping algebras
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Publication:1906473
DOI10.1006/jabr.1996.0020zbMath0964.17005OpenAlexW2043465153WikidataQ115396129 ScholiaQ115396129MaRDI QIDQ1906473
Publication date: 18 July 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.0020
Growth rate, Gelfand-Kirillov dimension (16P90) Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01) Universal enveloping algebras of Lie algebras (16S30)
Related Items (18)
On freep-superalgebras ⋮ Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Enumeration of algebras close to absolutely free algebras and binary trees ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Schreier's type formulae and two scales for growth of Lie algebras and groups ⋮ On Lie algebras with nonintegral 𝑞-dimensions ⋮ Enveloping fields of Witt type algebras ⋮ Growth of finitely generated simple Lie algebras ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ Lie algebras with finite Gelfand-Kirillov dimension ⋮ GROWTH OF FINITELY GENERATED POLYNILPOTENT LIE ALGEBRAS AND GROUPS, GENERALIZED PARTITIONS, AND FUNCTIONS ANALYTIC IN THE UNIT CIRCLE ⋮ POLYCYCLIC RESTRICTED LIE ALGEBRAS ⋮ GROWTH OF SOLVABLE LIE SUPERALGEBRAS ⋮ Intermediate growth in finitely presented algebras ⋮ Intermediate growth of solvable Lie superalgebras ⋮ Exponential Schreier's formula for free Lie algebras and its applications
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