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- W1628454405 abstract "Let g be a simple complex finite dimensional Lie algebra and let U_q^+(g) be the positive part of the quantum enveloping algebra of g. If g is of type A_2, the group of algebra of U_q^+(g) is a semidirect product of a 2-dimensional torus and the group of of the Dynkin diagram; any algebra automorphism is an automorphism of braided Hopf algebra, and preserves the standard grading [AD1]. This intriguing smallness of the group of algebra raises questions about the extent of these phenomena. We discuss some of them in the present paper. We introduce the notion of ``algebra with few automorphisms and establish some consequences. We prove some exploratory results concerning the group of algebra for the type B_2. We study Hopf algebra of Nichols algebras and their bosonizations and compute in particular the group of Hopf algebra of U_q^+(g)." @default.
- W1628454405 created "2016-06-24" @default.
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- W1628454405 date "2003-01-08" @default.
- W1628454405 modified "2023-09-27" @default.
- W1628454405 title "On the automorphisms of $U_q^+({mathfrak g})$" @default.
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