An algorithm for the Baker-Campbell-Hausdorff formula

DOI10.1007/JHEP05(2015)113zbMath1388.17001arXiv1502.06589MaRDI QIDQ2635385

Marco Matone

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06589

zbMATH Keywords

gauge symmetryconformal and W symmetryspace-time symmetries

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Identities, free Lie (super)algebras (17B01) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (12)

Study of multiplication operator on \(\mathcal H_{\frac 12}\oplus \mathcal H_{-\frac 12}\) ⋮ Explicit Baker-Campbell-Hausdorff expansions ⋮ Wilson loops on Riemann surfaces, Liouville theory and covariantization of the conformal group ⋮ The flow method for the Baker-Campbell-Hausdorff formula: exact results ⋮ Closed forms of the Zassenhaus formula ⋮ Entanglement and geometry from subalgebras of the Virasoro algebra ⋮ Exact Baker–Campbell–Hausdorff formula for the contact Heisenberg algebra ⋮ Classification of commutator algebras leading to the new type of closed Baker-Campbell-Hausdorff formulas ⋮ The Baker-Campbell-Hausdorff formula via mould calculus ⋮ On the Baker-Campbell-Hausdorff Theorem: non-convergence and prolongation issues ⋮ The algebra of complex 2 × 2 matrices and a general closed Baker–Campbell–Hausdorff formula ⋮ An exact power series representation of the Baker–Campbell–Hausdorff formula

Cites Work

• Classification of commutator algebras leading to the new type of closed Baker-Campbell-Hausdorff formulas
• Simplifying the Reinsch algorithm for the Baker–Campbell–Hausdorff series
• Special-case closed form of the Baker–Campbell–Hausdorff formula

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