---
title: "Double Groups of Point Groups • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb82e"
locale: en
meta:
  "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Double%2BGroups%2Bof%2BPoint%2BGroups%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~QW5pYmFsIE9tYXIgQ2FyaWRlOyBTLiBJLiBaYW5ldHRl%2Cdetalhe_1985%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI4MmUi%2Cs_83PaOqjcr3ZjZLYo.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Double Groups of Point Groups • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Double%2BGroups%2Bof%2BPoint%2BGroups%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~QW5pYmFsIE9tYXIgQ2FyaWRlOyBTLiBJLiBaYW5ldHRl%2Cdetalhe_1985%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI4MmUi%2Cs_83PaOqjcr3ZjZLYo.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Physics Note****Published**

# **Double Groups of Point Groups**

**Anibal Omar Caride; S. I. Zanette**

1985

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb82e/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Double%20Groups%20of%20Point%20Groups)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Anibal Omar Caride; S. I. Zanette</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1985</dd>

<dt>Description</dt>
<dd>The representations of point groups appropriate to spin &lt;math&gt;- \frac{1}{2}\,\!&lt;/math&gt; particles are usually determined by considerations of a group of double the order of the point group under consideration, known as the double group. An alternative definition for double groups is given which makes use of the theory of central extensions and presentations of the point groups.</dd>

<dt>Year</dt>
<dd>1985</dd>

<dt>Number</dt>
<dd>CBPF-NF-039/85</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb82e#webpage","@type":"WebPage","description":"CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community.","name":"Double Groups of Point Groups","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb82e","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb82e"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.
