# Vector product and composition algebras in braided monoidal additive   categories

**Authors:** Ross Street

arXiv: 1812.04143 · 2018-12-12

## 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.

## Key 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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Source: https://tomesphere.com/paper/1812.04143