A Lie–Rinehart Algebra with No Antipode

DOI10.1080/00927872.2014.896375zbMath1381.17010arXiv1308.6770OpenAlexW1530066881MaRDI QIDQ3448277

Ulrich Krähmer, Ana Rovi

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1308.6770

zbMATH Keywords

Lie algebroidsHopf algebroidsLie-Rinehart algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Universal enveloping algebras of Lie algebras (16S30)

Related Items (7)

Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Hopf algebroids associated to Jacobi algebras ⋮ Universal central extensions of Lie–Rinehart algebras ⋮ Graded Lie-Rinehart algebras ⋮ On the structure of split regular Hom-Lie–Rinehart algebras ⋮ Split Lie–Rinehart algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras

Cites Work

• The cyclic theory of Hopf algebroids.
• Duality and products in algebraic (co)homology theories.
• Groups of algebras over \(A\otimes \bar A\)
• Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
• Hopf Algebroids
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• On the universal enveloping algebra of a Lie algebroid
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Quantum groupoids

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