Galois orders in skew monoid rings.

DOI10.1016/j.jalgebra.2010.05.006zbMath1204.16010arXivmath/0610069OpenAlexW2081220026MaRDI QIDQ994274

Sergiy Ovsienko, Vyacheslav M. Futorny

Publication date: 17 September 2010

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

Full work available at URL: https://arxiv.org/abs/math/0610069

zbMATH Keywords

rings of invariantsGalois ringsHarish-Chandra subalgebrasGalois ordersskew monoid ringstwisted Galois semigroup rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Orders in separable algebras (16H10)

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Cites Work

• A new approach to representation theory of symmetric groups
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Simple modules of the Witten-Woronowicz algebra.
• Strongly nilpotent matrices and Gelfand-Zetlin modules.
• The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras
• Hecke algebras
• Irreducible Representations of A n with a 1-Dimensional Weight Space
• Partial actions of groups and actions of inverse semigroups
• KOSTANT'S THEOREM FOR SPECIAL FILTERED ALGEBRAS
• Representations of shifted Yangians and finite 𝑊-algebras
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