Vector product and composition algebras in braided monoidal additive categories
Ross Street
TL;DR
This paper explores the adaptation of vector product and composition algebras within braided monoidal additive categories, extending classical algebraic concepts to a categorical framework.
Contribution
It introduces a categorical approach to vector product and composition algebras in braided monoidal additive categories, expanding their theoretical understanding.
Findings
Extended classical algebraic structures to braided monoidal categories
Developed new categorical frameworks for vector product algebras
Provided foundational work for future research in categorical algebra
Abstract
This is an account of some work of Markus Rost and his students Dominik Boos and Susanne Maurer. We adapt it to the braided monoidal setting.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models