nLab division superalgebra

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Contents

Context

Super-Algebra

Contents

Idea

The concept of a division superalgebra (also super division algebra) is the analog of that of division algebras in the context of superalgebra. As such, a division superalgebra is a superalgebra in which every nonzero homogeneous element is invertible.

The classification of the associative real division superalgebras by a “ten-fold way” is essentially attributed to Dyson (1962) by Freed & Moore (2013, Appendix C) (in the context of the K-theory classification of topological phases of matter), further expanded on in Moore (2013), Section 14 and Geiko & Moore (2021).

References

Last revised on April 6, 2023 at 13:13:20. See the history of this page for a list of all contributions to it.