Examples of scalar extension Hopf algebroids over a universal enveloping algebra

2025/06/03 by Martina Stojić, Stojić, Martina, Zoran Škoda +1 · 1 citation
Mathematics · #16S40 #16T05 #16T10 #16T99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2506.03125

openalex publication_date 2025/06/03 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28

Abstract

We present several related examples of Hopf algebroids over a universal enveloping algebra which are of the scalar extension Hopf algebroid type and explain their origin in Lie and algebraic group theory.

Citations

• Hopf Algebroids
• Hopf algebroids with bijective antipodes: axioms, integrals and duals
• Hopf algebroids and quantum groupoids
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS

Cited by

• Duality for action bialgebroids

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