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Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2021-10-25 , DOI: 10.1007/s00006-021-01181-0
Kevin Iga 1
Affiliation  

An Adinkra is a graph from the study of supersymmetry in particle physics, but it can be adapted to study Clifford algebra representations. The graph in this context is called a Cliffordinkra, and puts some standard ideas in Clifford algebra representations in a geometric and visual context. In the past few years there have been developments in Adinkras that have shown how they are connected to error correcting codes, algebraic topology, algebraic geometry, and combinatorics. These connections also arise for Cliffordinkras. This paper introduces Cliffordinkras and describes the relationship to these subjects in that context. No previous knowledge of Adinkras and supersymmetry is assumed.



中文翻译:

Adinkras:Clifford 代数表示、超对称和代码图

Adinkra 是来自粒子物理学中超对称研究的图,但它可以用于研究 Clifford 代数表示。此上下文中的图称为 Cliffordinkra,并将 Clifford 代数表示中的一些标准思想置于几何和视觉上下文中。在过去几年中,Adinkras 的发展表明它们如何与纠错码、代数拓扑、代数几何和组合学相关联。这些联系也出现在 Cliffordinkras 身上。本文介绍了 Cliffordinkras 并描述了在该上下文中与这些主题的关系。假设没有 Adinkras 和超对称的先前知识。

更新日期:2021-10-26
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