The Equivariant Brauer Group of a Cocommutative Hopf Algebra

DOI10.1080/00927872.2012.692417zbMath1288.16020OpenAlexW2047349650MaRDI QIDQ2855412

Yinhuo Zhang, Jeroen Dello

Publication date: 25 October 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.692417

zbMATH Keywords

split exact sequencesAzumaya algebrascocommutative Hopf algebrasequivariant Brauer groups

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Hopf algebras and their applications (16T05)

Cites Work

• A bigger Brauer group
• A direct sum decomposition for the Brauer group of H-module algebras
• Hopf algebra orders determined by group valuations
• An algebraic framework for group duality
• Galois theory for multiplier Hopf algebras with integrals
• A note on Taylor's Brauer group
• An exact sequence for the Brauer group of a finite quantum group.
• Strongly rational comodules and semiperfect Hopf algebras over QF rings
• The Brauer group of dimodule algebras
• Separable algebras over commutative rings
• The Group of Galois Extensions Over Orders in 𝐾𝐶_{𝑝²}
• The equivariant Brauer group of a group
• MULTIPLIER BI- AND HOPF ALGEBRAS
• The quantum double of a cofrobenius hopf algebra
• Actions of multiplier hopf algebras
• Multiplier Hopf Algebras
• The Flat Cohomology of Group Schemes of Rank p
• Pairing and quantum double of multiplier Hopf algebras

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