On anchored Lie algebras and the Connes-Moscovici bialgebroid construction
DOI10.4171/JNCG/475WikidataQ114021465 ScholiaQ114021465MaRDI QIDQ2105639
Publication date: 8 December 2022
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.14656
universal enveloping algebrauniversal propertyprimitivesanchored Lie algebraConnes-Moscovici bialgebroid
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Lie algebras of vector fields and related (super) algebras (17B66) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Nonassociative algebras satisfying other identities (17A30) Filtered associative rings; filtrational and graded techniques (16W70) Coalgebras and comodules; corings (16T15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Handbook of algebra. Volume 6
- Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic.
- L-R-smash product for (quasi-)Hopf algebras.
- Reflexivity and coalgebras of finite type
- Groups of simple algebras
- Groups of algebras over \(A\otimes \bar A\)
- Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
- Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras
- More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry
- Bialgebroid actions on depth two extensions and duality.
- Bialgebroids, \(\times_A\)-bialgebras and duality
- Categories of modules with differentials
- Connections on central bimodules in noncommutative differential geometry
- Theory of non-commutative polynomials
- Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
- On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory.
- On the structure of Hopf algebras
- Affine Hopf algebras. I
- Cohomology of Lie algebras
- Poisson cohomology and quantization.
- Bialgebras of type one*
- DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- On the universal enveloping algebra of a Lie algebroid
- Rational homotopical models and uniqueness
- The Hopf algebroid structure of differentially recursive sequences
- Topological tensor product of bimodules, complete Hopf algebroids and convolution algebras
- The Lie Pseudoalgebra of an Anchored Module
- Associated Graded Algebras and Coalgebras
- Differential Forms on General Commutative Algebras
- Cohomology Theory of Lie Groups and Lie Algebras
