Universal Enveloping Algebras with Subexponential but not Polynomially Bounded Growth

DOI10.2307/2041103zbMath0347.17005OpenAlexW4233481613MaRDI QIDQ4116597

Martha K. Smith

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041103

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (27)

Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ Rings with Subexponential Growth and Irreducible Representations ⋮ On isoperimetric profiles of algebras. ⋮ Radicals of crossed products of enveloping algebras ⋮ Algebras and semigroups of locally subexponential growth ⋮ Algebras defined by Lyndon words and Artin-Schelter regularity ⋮ Semigroups of matrices of intermediate growth. ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Growth of nonsymmetric operads ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Examples of uniform exponential growth in algebras ⋮ Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions ⋮ Growth of graded noetherian rings ⋮ Enveloping fields of Witt type algebras ⋮ The entropy of graded algebras ⋮ Growth of finitely generated simple Lie algebras ⋮ Uniform exponential growth in twisted polynomial algebras ⋮ Graded algebras and their differential graded extensions. ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ On the growth of algebras with bialgebra action ⋮ On matrix wreath products of algebras ⋮ Embeddings in Lie algebras of subexponential growth ⋮ Prime and primitive algebras with prescribed growth types ⋮ Polynomial Lie algebras and growth of their finitely generated Lie subalgebras ⋮ Growth of Two-Step Solvable Lie Algebras ⋮ Intermediate growth in finitely presented algebras ⋮ Growth in enveloping algebras

Cites Work

• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
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