Lie's correspondence for commutative automorphic formal loops
A. Grishkov, J. M. P\'erez-Izquierdo
TL;DR
This paper extends Lie's correspondence to commutative automorphic formal loops, providing an explicit Baker-Campbell-Hausdorff formula to understand their algebraic structure.
Contribution
It introduces a Lie correspondence and a BCH formula specifically for commutative automorphic formal loops, a novel extension in loop theory.
Findings
Established Lie's correspondence for the class of commutative automorphic formal loops
Derived an explicit Baker-Campbell-Hausdorff formula for these loops
Enhanced understanding of their algebraic and geometric properties
Abstract
We develop Lie's correspondence and an explicit Baker-Campbell-Hausdorff formula for commutative automorphic formal loops.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Topics in Algebra