The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem

DOI10.3934/era.2015.22.32zbMath1332.05020OpenAlexW2525292808MaRDI QIDQ256352

Jacob Katriel, Rüdiger Achilles, Andrea Bonfiglioli

Publication date: 9 March 2016

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2015.22.32

zbMATH Keywords

\(q\)-calculus\(q\)-commutator identitiesCampbell-Baker-Hausdorff-Dynkin (CBHD) seriesexponential theoremq-deformed CBHD series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ring-theoretic aspects of quantum groups (16T20)

Related Items

Generating \(q\)-commutator identities and the \(q\)-BCH formula, The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem

Cites Work

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• The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem
• Topics in noncommutative algebra. The theorem of Campbell, Baker, Hausdorff and Dynkin
• Twisted dendriform algebras and the pre-Lie Magnus expansion
• Disentangling \(q\)-exponentials: a general approach
• \(q\)-exponentials on quantum spaces
• A Magnus- and Fer-type formula in dendriform algebras.
• Operatormethoden für q-identitäten
• A q-analog of the Campbell-Baker-Hausdorff formula
• On the \(q\)-analogues of the Zassenhaus formula for disentangling exponential operators.
• Coherent states of the \(q\)-canonical commutation relations
• The \(q\)-Zassenhaus formula
• Bose-Einstein condensation of a quon gas.
• Dendriform equations
• A Comprehensive Treatment of q-Calculus
• A q-analogue of the Campbell-Baker-Hausdorff expansion
• On some unsolved problems in quantum group theory
• Exponential mapping for non-semisimple quantum groups
• A no-go theorem for a Lie-consistent q-Campbell–Baker–Hausdorff expansion
• Ordering relations for q-boson operators, continued fraction techniques and the q-CBH enigma
• Hilbert spaces of analytic functions and generalized coherent states
• Quantum groups
• Quantum calculus