The Andruskiewitsch-Dumas conjecture

Mathematics – Rings and Algebras

Scientific paper

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28 pages, AMS Latex

Scientific paper

We prove the Andruskiewitsch-Dumas conjecture that the automorphism group of
the positive part of the quantized universal enveloping algebra U_q(g) of an
arbitrary finite dimensional simple Lie algebra g is isomorphic to the
semidirect product of the automorphism group of the Dynkin diagram of g and a
torus of rank equal to the rank of g.

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