Vector product and composition algebras in braided monoidal additive categories

Ross Street

doi:10.14712/1213-7243.2019.024

Vector product and composition algebras in braided monoidal additive categories

Ross Street^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This is an account of some work of Markus Rost and his students Dominik Boos and Susanne Maurer. It concerns the possible dimensions for composition (also called Hurwitz) algebras. We adapt the work to the braided monoidal setting.

Original language	English
Pages (from-to)	581-604
Number of pages	24
Journal	Commentationes Mathematicae Universitatis Carolinae
Volume	60
Issue number	4
DOIs	https://doi.org/10.14712/1213-7243.2019.024
Publication status	Published - 2019

Keywords

string diagram
vector product
bilinear form
braiding
monoidal dual

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10.14712/1213-7243.2019.024

Cite this

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abstract = "This is an account of some work of Markus Rost and his students Dominik Boos and Susanne Maurer. It concerns the possible dimensions for composition (also called Hurwitz) algebras. We adapt the work to the braided monoidal setting.",

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author = "Ross Street",

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KW - string diagram

KW - vector product

KW - bilinear form

KW - braiding

KW - monoidal dual

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UR - http://purl.org/au-research/grants/arc/DP160101519

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JF - Commentationes Mathematicae Universitatis Carolinae

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Vector product and composition algebras in braided monoidal additive categories

Abstract

Keywords

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Monoidal categories and beyond: new contexts and new applications

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Vector product and composition algebras in braided monoidal additive categories

Abstract

Keywords

Access to Document

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Monoidal categories and beyond: new contexts and new applications

Cite this