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Lubin–Tate formal group law
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<p>In mathematics, the Lubin–Tate formal group law is a <a href="/facts/Formal_group_law/xUnVSCC5">formal group law</a> introduced by <a href="/facts/Jonathan_Lubin/lwjBkGjJ">Lubin</a> and <a href="/facts/John_Tate_(mathematician)/nBntLCG0"> Tate</a> (1965) to isolate the <a href="/facts/Local_field/vqIgPIX3">local field</a> part of the classical theory of <a href="/facts/Complex_multiplication/YQNcbNXP">complex multiplication</a> of <a href="/facts/Elliptic_function/mF03oI04">elliptic functions</a>. In particular it can be used to construct the totally ramified abelian extensions of a local field. It does this by considering the (formal) <a href="/facts/Endomorphism/s7NNlSea">endomorphisms</a> of the formal group, emulating the way in which <a href="/facts/Elliptic_curve/60jvaHSA">elliptic curves</a> with extra endomorphisms are used to give <a href="/facts/Abelian_extension/vIdW4Hnv">abelian extensions</a> of <a href="/facts/Global_field/na458xWs">global fields</a>. </p>