Non-associative algebraic structures: classification and structure

Abstract

These are detailed notes for a lecture on "Non-associative Algebraic Structures: Classification and Structure" which I presented as a part of my Agregação em Matemática e Applicações (University of Beira Interior, Covilhã, Portugal, 13-14/03/2023).

References in corpus (11)

• Hom-algebras and homology
• The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
• Two-Local derivations on associative and Jordan matrix rings over commutative rings
• The Freiheitssatz for Generic Poisson Algebras
• Poisson cohomology and quantization
• Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
• The algebraic and geometric classification of nilpotent left-symmetric algebras
• Modules over linear spaces admitting a multiplicative basis
• The algebraic and geometric classification of nilpotent right alternative algebras
• The algebraic and geometric classification of antiassociative algebras
• One-generated nilpotent assosymmetric algebras

Cited by in corpus (5)

• Transposed Poisson structures on Lie incidence algebras
• Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras
• The algebraic and geometric classification of right alternative and semi-alternative algebras
• The algebraic and geometric classification of derived Jordan and bicommutative algebras
• Quantizations of transposed Poisson algebras by Novikov deformations