Summary
For a given finite dimensional simple Lie algebra g over an algebraically closed field of characteristic 0, we establish the existence of a positive integer d(g) with the property that any multiloop algebra \(L (\mathfrak{g}, \sigma_{1},\cdots, \sigma_{n} )\) based on \({\mathfrak{g}}\) is split by a finite étale cover of degree \(d{\mathfrak{g}}\) of the base ring \(k\left[t^{\pm{1}}_{1},\cdots,t^{\pm{1}}_{n}\right].\)
2000 Mathematics Subject Classifications:Primary 14L15. Secondary 17B67, 20G15.
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Gille, P., Pianzola, A. (2011). Remarks on the Isotriviality of Multiloop Algebras. In: Neeb, KH., Pianzola, A. (eds) Developments and Trends in Infinite-Dimensional Lie Theory. Progress in Mathematics, vol 288. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4741-4_2
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DOI: https://doi.org/10.1007/978-0-8176-4741-4_2
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