Posetted trees and Baker-Campbell-Hausdorff product
Donatella Iacono, Marco Manetti

TL;DR
This paper introduces posetted trees as a combinatorial tool to derive an explicit expression for the Baker-Campbell-Hausdorff formula, enhancing understanding of Lie algebra exponentials.
Contribution
It presents a novel combinatorial approach using posetted trees to explicitly formulate the Baker-Campbell-Hausdorff product.
Findings
Explicit formula for BCH using posetted trees
New combinatorial framework for Lie algebra calculations
Simplifies understanding of exponential maps in Lie theory
Abstract
We introduce the combinatorial notion of posetted trees and we use it in order to write an explicit expression of the Baker-Campbell-Hausdorff formula.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Combinatorial Mathematics
