Quadratic algebra of square groups
Copyright policy )Quadratic algebra of square groups
There is a long-standing problem of algebra to extend the symmetric monoidal structure of abelian groups, given by the tensor product, to a non abelian setting. In this paper we show that such an extension is possible. Morover our non abelian tensor product remains even right exact and balanced. We describe the new non-abelian tensor product in the context of quadratic algebra which extends linear algebra.
- Max Planck Society Germany
- University of Leicester United Kingdom
- Max Planck Institute for Mathematics Germany
Mathematics(all), symmetric monoidal category, Categorical algebra, Mathematics - Category Theory, Group Theory (math.GR), Ring spectrum, ring spectrum, Quadratic algebra, Square group, Homological and categorical methods for abelian groups, FOS: Mathematics, tensor product of groups, Category Theory (math.CT), 18D10, 18G50, 55Q9, Symmetric monoidal category, square groups, Mathematics - Group Theory
Mathematics(all), symmetric monoidal category, Categorical algebra, Mathematics - Category Theory, Group Theory (math.GR), Ring spectrum, ring spectrum, Quadratic algebra, Square group, Homological and categorical methods for abelian groups, FOS: Mathematics, tensor product of groups, Category Theory (math.CT), 18D10, 18G50, 55Q9, Symmetric monoidal category, square groups, Mathematics - Group Theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!