TeXipedia

frak

Renders text in a decorative Fraktur font style, commonly used for specific mathematical notation and traditional German typography.

Overview

Provides an ornate, gothic-style font variant particularly valued in mathematical contexts for denoting special sets, algebras, or mathematical objects.

  • Popular in advanced mathematics for denoting Lie algebras and other algebraic structures
  • Historically connected to traditional German typography and mathematical notation
  • Often used to distinguish specific mathematical entities from regular variables
  • Particularly common in abstract algebra and theoretical physics notation

Examples

Using Fraktur font for mathematical notation, commonly seen in algebra for denoting ideals.

Let a be a prime ideal in ring R\text{Let } \frak{a} \text{ be a prime ideal in ring } R 
\text{Let } \frak{a} \text{ be a prime ideal in ring } R

Displaying Fraktur letters in mathematical expressions, often used for special mathematical sets.

M={x∈A:x2=0}\frak{M} = \{x \in \frak{A} : x^2 = 0\} 
\frak{M} = \{x \in \frak{A} : x^2 = 0\}

Using Fraktur for algebraic structures, frequently seen in abstract algebra.

g⊗h≅k\frak{g} \otimes \frak{h} \cong \frak{k} 
\frak{g} \otimes \frak{h} \cong \frak{k}