Template:Mathfrak

The following documentation is located at Template:Mathfrak/doc. [<Edit> Template:Mathfrak/doc]
[⧼Purge⧽ Template:Mathfrak]

This template is under construction.            

Please do not use this unfinished and/or still unreliable template.            
_________________________

Issues
Only a single lowercase or uppercase Latin character is currently supported with the HTML+CSS option.

The {{mathfrak}} mathematical alphanumeric symbols template is intended to simulate a Fraktur font for use in mathematical formulas using standard HTML+CSS. This template may also be used to get \mathfrak{...} in LaTeX markup (see Help:Displaying a formula).

The template attempts to use any Fraktur font that may be installed on several operating systems, either as default or as part of an office package. The fonts called are: Breitkopf Fraktur, UnifrakturCook, and UniFrakturMaguntia. (Currently, since we can't rely on those fonts being installed, the template resorts to using Unicode code points.)

Usage

{{mathfrak|text}}

or

{{mathfrak|text|format}}

where text is (only yields a Fraktur typeface for uppercase or lowercase Latin characters!) (only a single lowercase or uppercase Latin character is currently supported with the HTML+CSS option!)

• a string of: lowercase or uppercase Latin characters;

and format is among

• htm: to get HTML+CSS (default),
• tex: to get LaTeX code.

Use of equals sign

To get an equals sign, you must use the {{=}} template.

Tests

The code

{{mathfrak|ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789}}

yields

The code

: {{math|<!--
-->{{mathfrak|A}}{{mathfrak|B}}{{mathfrak|C}}{{mathfrak|D}}{{mathfrak|E}}{{mathfrak|F}}{{mathfrak|G}}{{mathfrak|H}}<!--
-->{{mathfrak|I}}{{mathfrak|J}}{{mathfrak|K}}{{mathfrak|L}}{{mathfrak|M}}{{mathfrak|N}}{{mathfrak|O}}{{mathfrak|P}}<!--
-->{{mathfrak|Q}}{{mathfrak|R}}{{mathfrak|S}}{{mathfrak|T}}{{mathfrak|U}}{{mathfrak|V}}{{mathfrak|W}}{{mathfrak|X}}<!--
-->{{mathfrak|Y}}{{mathfrak|Z}} <!--

-->{{mathfrak|a}}{{mathfrak|b}}{{mathfrak|c}}{{mathfrak|d}}{{mathfrak|e}}{{mathfrak|f}}{{mathfrak|g}}{{mathfrak|h}}<!--
-->{{mathfrak|i}}{{mathfrak|j}}{{mathfrak|k}}{{mathfrak|l}}{{mathfrak|m}}{{mathfrak|n}}{{mathfrak|o}}{{mathfrak|p}}<!--
-->{{mathfrak|q}}{{mathfrak|r}}{{mathfrak|s}}{{mathfrak|t}}{{mathfrak|u}}{{mathfrak|v}}{{mathfrak|w}}{{mathfrak|x}}<!--
-->{{mathfrak|y}}{{mathfrak|z}} <!--

-->{{mathfrak|0}}{{mathfrak|1}}{{mathfrak|2}}{{mathfrak|3}}{{mathfrak|4}}{{mathfrak|5}}{{mathfrak|6}}{{mathfrak|7}}<!--
-->{{mathfrak|8}}{{mathfrak|9}}
|&}}

yields the text style HTML+CSS

 

𝔄𝔅ℭ𝔇𝔈𝔉𝔊ℌℑ𝔍𝔎𝔏𝔐𝔑𝔒𝔓𝔔ℜ𝔖𝔗𝔘𝔙𝔚𝔛𝔜ℨ 𝔞𝔟𝔠𝔡𝔢𝔣𝔤𝔥𝔦𝔧𝔨𝔩𝔪𝔫𝔬𝔭𝔮𝔯𝔰𝔱𝔲𝔳𝔴𝔵𝔶𝔷 0123456789

The code

: {{math|{{mathfrak|ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz \ 0123456789|tex}}|$}}

yields the text style LaTeX

$\textstyle {\mathfrak {ABCDEFGHIJKLMNOPQRSTUVWXYZ\ abcdefghijklmnopqrstuvwxyz\ 0123456789}}$

The code

{{math|{{mathfrak|ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789}}|&&}}

yields the display style HTML+CSS

The code

: {{math|<!--
-->{{mathfrak|A}}{{mathfrak|B}}{{mathfrak|C}}{{mathfrak|D}}{{mathfrak|E}}{{mathfrak|F}}{{mathfrak|G}}{{mathfrak|H}}<!--
-->{{mathfrak|I}}{{mathfrak|J}}{{mathfrak|K}}{{mathfrak|L}}{{mathfrak|M}}{{mathfrak|N}}{{mathfrak|O}}{{mathfrak|P}}<!--
-->{{mathfrak|Q}}{{mathfrak|R}}{{mathfrak|S}}{{mathfrak|T}}{{mathfrak|U}}{{mathfrak|V}}{{mathfrak|W}}{{mathfrak|X}}<!--
-->{{mathfrak|Y}}{{mathfrak|Z}} <!--

-->{{mathfrak|a}}{{mathfrak|b}}{{mathfrak|c}}{{mathfrak|d}}{{mathfrak|e}}{{mathfrak|f}}{{mathfrak|g}}{{mathfrak|h}}<!--
-->{{mathfrak|i}}{{mathfrak|j}}{{mathfrak|k}}{{mathfrak|l}}{{mathfrak|m}}{{mathfrak|n}}{{mathfrak|o}}{{mathfrak|p}}<!--
-->{{mathfrak|q}}{{mathfrak|r}}{{mathfrak|s}}{{mathfrak|t}}{{mathfrak|u}}{{mathfrak|v}}{{mathfrak|w}}{{mathfrak|x}}<!--
-->{{mathfrak|y}}{{mathfrak|z}} <!--

-->{{mathfrak|0}}{{mathfrak|1}}{{mathfrak|2}}{{mathfrak|3}}{{mathfrak|4}}{{mathfrak|5}}{{mathfrak|6}}{{mathfrak|7}}<!--
-->{{mathfrak|8}}{{mathfrak|9}}
|&&}}

yields the display style HTML+CSS

𝔄𝔅ℭ𝔇𝔈𝔉𝔊ℌℑ𝔍𝔎𝔏𝔐𝔑𝔒𝔓𝔔ℜ𝔖𝔗𝔘𝔙𝔚𝔛𝔜ℨ 𝔞𝔟𝔠𝔡𝔢𝔣𝔤𝔥𝔦𝔧𝔨𝔩𝔪𝔫𝔬𝔭𝔮𝔯𝔰𝔱𝔲𝔳𝔴𝔵𝔶𝔷 0123456789

The code

: {{math|{{mathfrak|ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz \ 0123456789|tex}}|$$}}

yields the display style LaTeX

${\begin{array}{l}\displaystyle {\mathfrak {ABCDEFGHIJKLMNOPQRSTUVWXYZ\ abcdefghijklmnopqrstuvwxyz\ 0123456789}}\end{array}}$

Examples

The code

: A '''Lie algebra''' is a [[vector space]] '''{{math|{{mathfrak|g}}|&}}''' over some [[field]] {{math|''F''|&}} together with <!--
-->a [[binary operation]] {{math|[{{sym|cdot}},{{sp|3}}{{sym|cdot}}]{{sp|3}}:{{sp|3}}'''{{mathfrak|g}}'''{{sp|3}}{{op|times}}{{sp|3}}<!--
-->'''{{mathfrak|g}}'''{{sp|3}}{{-)|to}}{{sp|3}}'''{{mathfrak|g}}'''|&}} called the '''Lie bracket''', which satisfies the following axioms: (...)

yields the HTML+CSS:

A Lie algebra is a vector space  

𝔤

over some field 

F

together with a binary operation 

[·, ·] : 𝔤  ×  𝔤 → 𝔤

called the Lie bracket, which satisfies the following axioms: (...)

The code

: A '''Lie algebra''' is a [[vector space]] {{math|{{mathfrak|g|tex}}|$}} over some [[field]] {{math|''F''|$}} together with a [[binary operation]] <!--
-->{{math|[{{sym|cdot|tex}},{{sp|3|tex}}{{sym|cdot|tex}}]{{sp|3|tex}}:{{sp|3|tex}}{{mathfrak|g|tex}}{{sp|3|tex}}{{op|times|tex}}{{sp|3|tex}}<!--
-->{{mathfrak|g|tex}}{{sp|3|tex}}{{-)|to|tex}}{{sp|3|tex}}{{mathfrak|g|tex}}|$}} <!--
-->called the '''Lie bracket''', which satisfies the following axioms: (...)

yields the LaTeX:

A Lie algebra is a vector space$\textstyle {\mathfrak {g}}$ over some field$\textstyle {F}$ together with a binary operation$\textstyle {[{\cdot },{\,}{\cdot }]{\,}:{\,}{\mathfrak {g}}{\,}\,{\times }\,{\,}{\mathfrak {g}}{\,}\to {\,}{\mathfrak {g}}}$ called the Lie bracket, which satisfies the following axioms: (...)

See also

• {{Mathbb}}
• {{Mathcal}}
• {{Mathfrak}}
• {{Mathscr}}