EXAMPLES OF FCR-ALGEBRAS

DOI10.1081/AGB-120004489zbMath1029.16016OpenAlexW2044226098MaRDI QIDQ3146317

Lance W. Small, Ellen E. Kirkman

Publication date: 13 November 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120004489

zbMATH Keywords

Weyl algebrasgroup ringsLie superalgebrasGelfand-Kirillov dimensionFCR-algebrasdown-up algebrasfinite-dimensional representationsseparable extensionsorthosymplectic groupsfinite-dimensional semisimple algebrasnormalizing extensionsfinite-dimensional simple modulesenveloping algebras of semisimple Lie algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Growth rate, Gelfand-Kirillov dimension (16P90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Universal enveloping algebras of Lie algebras (16S30) Centralizing and normalizing extensions (16S20)

Related Items (3)

Representations and cocycle twists of color Lie algebras ⋮ Finite dimensional representations of invariant differential operators ⋮ Fixed subrings of Noetherian graded regular rings.

Cites Work

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• Noetherian down-up algebras
• Primitivity of Noetherian Down-Up Algebras
• CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC
• Generalized Weyl algebras are tensor Krull minimal

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