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arxiv: 1106.1908 · v1 · pith:4W3L7EA5new · submitted 2011-06-09 · 🧮 math.RA · math.QA

Automorphisms of the two-parameter Hopf algebra V

classification 🧮 math.RA math.QA
keywords algebraautomorphismsgrouphopftwo-parameterapplicationdetermineenveloping
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We determine the group of algebra automorphisms for the two-parameter quantized enveloping algebra $\V$. As an application, we prove that the group of Hopf algebra automorphisms for $\V$ is isomorphic to a torus of rank two.

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