Abstract
We replace the group of grouplike elements of the quantized enveloping algebra Uq(g) of a finite dimensional semisimple Lie algebra g by some regular monoid and get the weak Hopf algebra wqd(g). It is a subclass of weak Hopf algebras but not Hopf algebras. Then we devote to constructing a basis of wqd(g) and determine the group of weak Hopf algebra automorphisms of wqd(g) when q is not a root of unity.
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