Direct Sum and Hyperbolic Complexification of Hopf Algebras
- Cite this article as:
- Zhong, ZZ. International Journal of Theoretical Physics (1999) 38: 519. doi:10.1023/A:1026674318529
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The problem of how to obtain a hyperboliccomplexification of a Hopf algebra from two known Hopfalgebras is discussed. We prove that this Hopf algebrais isomorphic to a direct sum of the two known Hopf algebras, and that therefore this direct sum isalso a Hopf algebra. In particular, the result can beapplied to quantum enveloping algebras.