arXiv Open Access 2019

A binary encoding of spinors and applications

Gerardo Arizmendi Rafael Herrera
Lihat Sumber

Abstrak

We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations. As applications, we present explicit descriptions of the triality automorphism of $Spin(8)$, explicit representations of the Lie algebras $\mathfrak{spin}(8)$, $\mathfrak{spin}(7)$ and $\mathfrak{g}_2$, etc.

Topik & Kata Kunci

Penulis (2)

G

Gerardo Arizmendi

R

Rafael Herrera

Format Sitasi

Arizmendi, G., Herrera, R. (2019). A binary encoding of spinors and applications. https://arxiv.org/abs/1905.10613

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2019
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓