Oriented CW complexes and finite‐dimensional alternative algebras

DOI10.1002/mma.8253OpenAlexW4226135289MaRDI QIDQ6087608

Manuel Ceballos

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8253

zbMATH Keywords

digraphalternative algebrapseudodigraphoriented CW complex

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Alternative rings (17D05)

Cites Work

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• Study of Lie algebras by using combinatorial structures
• Evolution algebras and their applications
• Basic representations for classical affine Lie algebras
• Classification of division \({\mathbb Z}^n\)-graded alternative algebras.
• Combinatorial structures associated with Lie algebras of finite dimension
• On right alternative algebras
• The octonions
• Finite-dimensional Leibniz algebras and combinatorial structures
• Evolution algebras and graphs
• Combinatorial homotopy. I
• Representations of Alternative Algebras
• Evolution algebras of arbitrary dimension and their decompositions

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