/usr/share/doc/libghc-maths-doc/html/Math-Algebras-GroupAlgebra.html is in libghc-maths-doc 0.4.8-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 | <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Math.Algebras.GroupAlgebra</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
window.onload = function () {pageLoad();setSynopsis("mini_Math-Algebras-GroupAlgebra.html");};
//]]>
</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Math-Algebras-GroupAlgebra.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">HaskellForMaths-0.4.8: Combinatorics, group theory, commutative algebra, non-commutative algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Math.Algebras.GroupAlgebra</p></div><div id="description"><p class="caption">Description</p><div class="doc"><p>A module for doing arithmetic in the group algebra.</p><p>Group elements are represented as permutations of the integers, and are entered and displayed
using a Haskell-friendly version of cycle notation. For example, the permutation (1 2 3)(4 5)
would be entered as <code>p [[1,2,3],[4,5]]</code>, and displayed as [[1,2,3],[4,5]].</p><p>Given a field K and group G, the group algebra KG is the free K-vector space over the elements of G.
Elements of the group algebra consist of arbitrary K-linear combinations of elements of G.
For example, <code>p [[1,2,3]] + 2 * p [[1,2],[3,4]]</code></p></div></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">type</span> <a href="#t:GroupAlgebra">GroupAlgebra</a> k = <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k (<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a>)</li><li class="src short"><a href="#v:p">p</a> :: [[<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a>]] -> <a href="Math-Algebras-GroupAlgebra.html#t:GroupAlgebra">GroupAlgebra</a> <a href="Math-Core-Field.html#t:Q">Q</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">type</span> <a name="t:GroupAlgebra" class="def">GroupAlgebra</a> k = <a href="Math-Algebras-VectorSpace.html#t:Vect">Vect</a> k (<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a>) <a href="src/Math-Algebras-GroupAlgebra.html#GroupAlgebra" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:p" class="def">p</a> :: [[<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Int.html#t:Int">Int</a>]] -> <a href="Math-Algebras-GroupAlgebra.html#t:GroupAlgebra">GroupAlgebra</a> <a href="Math-Core-Field.html#t:Q">Q</a> <a href="src/Math-Algebras-GroupAlgebra.html#p" class="link">Source</a></p><div class="doc"><p>Construct a permutation, as an element of the group algebra, from a list of cycles.
For example, <code>p [[1,2],[3,4,5]]</code> constructs the permutation (1 2)(3 4 5), which is displayed
as [[1,2],[3,4,5]].</p></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>
|