Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple

DOI10.1016/j.cpc.2005.04.001zbMath1196.16042arXivmath-ph/0212032OpenAlexW2084154484MaRDI QIDQ709786

Bertfried Fauser, Rafał Abłamowicz

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0212032

zbMATH Keywords

quantum Yang-Baxter equationHopf algebra\texttt{Maple}\texttt{BIGEBRA}\texttt{CLIFFORD}Clifford bi-convolutionco-quasi triangular structureGraßmann Hopf algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Computational aspects of associative rings (general theory) (16Z05) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04) Exterior algebra, Grassmann algebras (15A75) Hopf algebras and their applications (16T05)

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Uses Software

• BIGEBRA
• CLIFFORD
• Maple
• SINGULAR

Cites Work

• Coherence for compact closed categories
• Tangles and Hopf algebras in braided categories
• Modular transformations for tensor categories
• Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
• On the structure of Hopf algebras
• On the Hopf algebraic origin of Wick normal ordering
• Plethystic Hopf algebras.
• Quantum field theory and Hopf algebra cohomology
• Guest editor's note: Clifford algebras and their applications
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