Quantum superalgebras uq（sl（m│n）） at roots of unity 被引量：1

Quantum superalgebras uq（sl（m│n）） at roots of unity

导出

摘要 Finite dimensional Hopf superalgebras Uq （sl（m│n）） corresponding to the Lie superalgebras s[（m│n） are constructed. The PBW type basis and the left and right integrals of uq（sl（m│n）） are obtained. Furthermore, the group of Hopf superalgebra automorphisms is described. Finite dimensional Hopf superalgebras Uq （sl（m│n）） corresponding to the Lie superalgebras s[（m│n） are constructed. The PBW type basis and the left and right integrals of uq（sl（m│n）） are obtained. Furthermore, the group of Hopf superalgebra automorphisms is described.

作者 Jialei CHEN Shilin YANG

机构地区 Department of Applied Mathematics

出处《Frontiers of Mathematics in China》 SCIE CSCD 2012年第4期607-628,共22页 中国高等学校学术文摘·数学（英文）

关键词 Hopf superalgebra PBW basis automorphism group Hopf superalgebra, PBW basis, automorphism group

分类号 O413 [理学—理论物理] TU984 [建筑科学—城市规划与设计]

引文网络
相关文献

参考文献23

1Arnaudon D. On automorphisms and universal R-matrices at roots of unity[J].Letters in Mathematical Physics,1995.3947.
2Benkart G,Witherspoon S. Restricted two-parameter quantum groups[A].Providence:Am Math Soc,2004.293318.
3Blumen S C. Quantum superalgebra at roots of unity and topological invariants of three-manifolds[M].
4Chen X,Yang S. Lusztig symmetries and automorphisms of quantum superalgebras Uq(osp(1/2r[J].Journal of Algebra and Its Applications,2010,(09):725762.
5Drinfeld V G. Hopf algebras and the quantum Yang-Baxter equation[J].Soviet Mathematics Doklady,1985.264-269.
6Fischman D,Montgomery V S,Schneider H-J. Frobenius extensions of subalgebras of Hopf algebras[J].Transactions of the American Mathematical Society,1997.4857-4895.
7Floreanini R,Spiridonov V P,Vinet L. q-oscillator realizations of the quantum superalgebras slq(m、 n) and ospq(m、 2n)[J].Communications in Mathematical Physics,1991.149-160.
8Frappat L,Sciarrino A,Sorba P. Structure of basic Lie superalgebras and of their affine extensions[J].Communications in Mathematical Physics,1989.457500.
9Gelaki S,Westreich S. On the quasitriangularity of Uq(sln)'[J].Journal of the London Mathematical Society,1998.105-125.
10Gelaki S,Westreich S. Hopf algebras of types Uq(sln)' and Oq(SLn)' which give rise to certain invariants of knots,links and 3-manifolds[J].Transactions of the American Mathematical Society,2000.3821-3836.

引证文献1

1程诚,邹世佳.一类Hopf代数的不可约可裂迹模[J].山东大学学报（理学版）,2018,53(4):11-15.

1Yue Qing WANG,Hong Ke DU,Yan Ni DOU.On the Index of Fredholm Pairs of Idempotents[J].Acta Mathematica Sinica,English Series,2009,25(4):679-686. 被引量：1
2Jun Li LIU Shi Lin YANG.Orthosymplectic Quantum Function Superalgebras OSPq（2l＋ 1｜2n）[J].Acta Mathematica Sinica,English Series,2011,27(5):983-1004.
3Zhi Hua WANG,Li Bin LI.On the Indecomposable Modules of U_q(sl(2)) Constructed via Ore-extension[J].Acta Mathematica Sinica,English Series,2013,29(7):1391-1400.
4许梅.为何大自然非其部分之和[J].科学,2009,62(2):42-42.
5郭建宇.耗时最长的实验[J].中学科技,2009(5):22-22.
6王淑娟,赵俊宁.INITIAL TRACE OF SOLUTIONS FOR A DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS[J].Acta Mathematica Scientia,2010,30(4):1174-1188.
7HONG Yan-yong,WU Zhi-xiang.Extensions of quantum enveloping algebras[J].Applied Mathematics(A Journal of Chinese Universities),2012,27(3):290-304. 被引量：2
8Dong Ming CHENG,Dong SU.A Class of Finite-Dimensional Representations of U_q(sl_2)[J].Acta Mathematica Sinica,English Series,2013,29(9):1703-1712.
9蜜蜂会识别1至4四个数字[J].湖南林业,2008(12):25-25.
10揭秘耗时最长科学实验：还将持续数百年[J].精细与专用化学品,2009(7):4-4.

Frontiers of Mathematics in China

2012年第4期

浏览历史

内容加载中请稍等...

Quantum superalgebras uq（sl（m│n）） at roots of unity 被引量：1

参考文献23

引证文献1

相关作者

相关机构

相关主题

浏览历史