On weak crossed products, Frobenius algebras, and the weak Bruhat ordering.

DOI10.1016/J.JALGEBRA.2004.02.001zbMath1089.16019OpenAlexW1971332088MaRDI QIDQ1779370

Abdulla Aljouiee

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.001

zbMATH Keywords

Nakayama automorphismsCoxeter groupssymmetric algebrasFrobenius algebrasweak cocyclesweak crossed products

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Quasi-Frobenius rings (16L60) Twisted and skew group rings, crossed products (16S35)

Related Items (6)

Construction of idempotent 2-cocycles ⋮ Cohomology monoids of monoids with coefficients in semimodules. II ⋮ Decomposition of idempotent 2-cocycles ⋮ Cohomology monoids of monoids with coefficients in semimodules. I ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\)

Cites Work

• On Frobenius algebras
• On crossed product algebras arising from weak cocycles
• Schubert polynomials and the nilCoxeter algebra
• A New Invariant for C Over R: Almost Invertible Cohomology Theory and the Classification of Idempotent Cohomology Classes and Algebras by Partially Ordered Sets with a Galois Group Action
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