For a finite-dimensional Lie algebra g, U(g) is a braided commutative Yetter-Drinfeld module algebra over any Hopf algebra H containing the adjoint matrix coefficients, making H smash U(g) a scalar extension Hopf algebroid over U(g)^op and U(g).
Borel, Sur quelques points de la th´ eorie des fonctions, Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, S´ er
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.QA 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Examples of scalar extension Hopf algebroids over a universal enveloping algebra
For a finite-dimensional Lie algebra g, U(g) is a braided commutative Yetter-Drinfeld module algebra over any Hopf algebra H containing the adjoint matrix coefficients, making H smash U(g) a scalar extension Hopf algebroid over U(g)^op and U(g).