논문KCI 등재
Weak Hopf algebras corresponding to non-standard quantum groups
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초록
We construct a weak Hopf algebra $\wx$ corresponding to non-standard quantum group $X_q(A_1)$. The PBW basis of $\wx$ is described and all the highest weight modules of $\wx$ are classified. Finally we give the Clebsch-Gordan decomposition of the tensor product of two highest weight modules of $\wx$.
Abstract
We construct a weak Hopf algebra $\wx$ corresponding to non-standard quantum group $X_q(A_1)$. The PBW basis of $\wx$ is described and all the highest weight modules of $\wx$ are classified. Finally we give the Clebsch-Gordan decomposition of the tensor product of two highest weight modules of $\wx$.
참고문헌 (10)
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- C. Kassel, "Quantum Groups" (1995), Springer-Verlag
- F. Li, "Weak Hopf algebras and new solutions of Yang-Baxter equation", J. Algebra, 208(1), pp.72~100 (1998)
- F. Li, "Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation", Comm. Math. Phys, 225(1), pp.191~217 (2002)
- H. Wang, "The Isomorphisms and the center of weak quantum algebras !sl q(2)", Tamkang J. Math, 36(4), pp.365~376 (2005)
- S. Yang, "Weak Hopf algebras corresponding to Cartan matrices", J. Math. Phys, 46(7), pp.18~ (2005)
- S. Yang, "Advances in ring theory", pp.307~316 (2005), World Sci. Publ.
관련 논문AI추천
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