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- W2949731352 abstract "Given a Lie algebra $mathfrak{g}$ over a field of characteristic zero $k$, let $mu(mathfrak{g})=min{dim pi: pitext{is a faithful representation of}mathfrak{g}}$. Let $mathfrak{h}_{m}$ be the Heisenberg Lie algebra of dimension $2m+1$ over $k$ and let $k[t]$ be the polynomial algebra in one variable. Given $minmathbb{N}$ and $pin k[t]$, let $mathfrak{h}_{m,p}=mathfrak{h}_motimes k[t]/(p)$ be the current Lie algebra associated to $mathfrak{h}_m$ and $k[t]/(p)$, where $(p)$ is the principal ideal in $k[t]$ generated by $p$. In this paper we prove that $ mu(mathfrak{h}_{m,p}) = m deg p + left lceil 2sqrt{deg p} rightrceil$." @default.
- W2949731352 created "2019-06-27" @default.
- W2949731352 creator A5040637741 @default.
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- W2949731352 date "2008-03-07" @default.
- W2949731352 modified "2023-10-02" @default.
- W2949731352 title "Faithful representations of minimal dimension of current Heisenberg Lie algebras" @default.
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