Quasi-Quantum Linear Spaces
Hua-Lin Huang, Yuping Yang
TL;DR
This paper classifies finite-dimensional graded pointed Majid algebras, which are nonassociative geometric structures generated by finite abelian groups and quasi-commutative skew-primitive elements.
Contribution
It provides a comprehensive classification of finite quasi-quantum linear spaces, expanding understanding of nonassociative geometric structures.
Findings
Classification of finite-dimensional graded pointed Majid algebras
Identification of generators as group-like and skew-primitive elements
Framework for finite quasi-quantum linear spaces
Abstract
We provide a classification of finite-dimensional graded pointed Majid algebras generated by finite abelian groups as group-like elements and a set of quasi-commutative skew-primitive elements. This amounts to a classification of finite quasi-quantum linear spaces in the sense of nonassociative geometry.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons