COhen-Fischman-Westreich’s double centralizer theorem for almost-triangular Hopf algebras

Guohua Liu , Xiaofan Zhao

Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (4) : 483 -494.

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Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (4) : 483 -494. DOI: 10.1007/s11401-016-1025-x
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COhen-Fischman-Westreich’s double centralizer theorem for almost-triangular Hopf algebras

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Abstract

In this paper, the authors study the Cohen-Fischman-Westreich’s double centralizer theorem for triangular Hopf algebras in the setting of almost-triangular Hopf algebras.

Keywords

Schur’s double centralizer theorem / Cohen-Fischman-Westreich’s double centralizer theorem / Almost-triangular Hopf algebra / R-Lie algebra

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Guohua Liu, Xiaofan Zhao. COhen-Fischman-Westreich’s double centralizer theorem for almost-triangular Hopf algebras. Chinese Annals of Mathematics, Series B, 2016, 37(4): 483-494 DOI:10.1007/s11401-016-1025-x

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References

[1]

Berele A., Regev A.. Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras. Adv. Math., 1987, 64(2): 118-175

[2]

Jimbo M.. A q-analogue of U(gl(N +1)), Hecke algebra, and the Yang-Baxter equation. Lett. Math. Phys., 1986, 11: 247-252

[3]

Kirillov A. N., Reshetikhin N. Y.u.. Representations of the algebra Uq(sl(2)), q-orthogonal polynomials and invariants of links, 1989, N. J.: World Sci. Publ., Teaneck

[4]

Fischman D.. Schur’s double centralizer theorem: A Hopf algebra approach. J. Algebra, 1993, 157: 331-340

[5]

Cohen M., Fischman D., Westreich S.. Schur’s double centralizer theorem for triangular Hopf algebras. Pro. Amer. Math. Soc., 1994, 122(1): 19-29

[6]

Liu G. H., Zhu S. L.. Almost-triangular Hopf algebras. Algebr. Represent. Theory, 2007, 10: 555-564

[7]

Sweedler M. E.. Hopf Algebras, 1969

[8]

Drinfeld V.. Quantum Groups, Proc. Internat. Congr. Math., 1986, Providence, RI: Amer. Math. Soc.

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