Journal of East China Normal University(Natural Sc ›› 2011, Vol. 2011 ›› Issue (3): 85-89.

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Realization of quantum symplectic group O(Spq(8)) via vector representation of Uq(sp(8))

GONG Ben-xue; LI Sha-sha   

  1. College of Science, Shandong University of Technology, Zibo, Shandong 255049, China
  • Received:2010-04-01 Revised:2010-07-01 Online:2011-05-25 Published:2011-05-25
  • Contact: GONG Ben-xue

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Abstract: To the quantum enveloping algebra Uq(sl2(C)) of type A Lie algebra A2, Jantzen gave the defining relations of SLq(2) arising from the representations of Uq(sl2(C)) by the R-matrix. This paper studied the similar question to Uq(sp(8)) of type C Lie algebra sp(8) which is more difficult than type A, and gave the realization of O(Spq(8)) arising from the representations of Uq(sp(8)) via Jantzen's approach.

Key words: realization, vector representation, quantum symplectic group, realization, vector representation

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