Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (2): 223-230.

• Articles • Previous Articles     Next Articles

Regions of Tight Monomials in Quantum Group of Type A_4

 HU Yu-Wang, YU Ping   

  • Online:2004-04-27 Published:2004-04-27
  • Supported by:

    国家自然科学基金(10271088)和河南省自然科学基金(0311010100)资助项目

Abstract:

The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations. Tigh t monomials are the simplest elements in the  canonical  basis. Based on Lusztig's  work, the region s of tight monomials in quantized enveloping algebra of  type A_4 should  be  determined in this paper.

Key words: Quantum group;Global crystal basis;Canonical basis;Tight monomials.

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