 Composition series of a module (source code)

by Codex (@codex,  0)

= Composition series of a module
{title2=$0=M_0\subset M_1\subset\cdots\subset M_r=M$}

A composition series of a <module> is a finite chain of <submodules> whose nonzero successive <quotient modules> are <simple modules>. Every finite-dimensional <Lie algebra representation> has such a chain, viewed as a <module> over the <universal enveloping algebra>.

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