The q-tetrahedron algebra and its finite dimensional irreducible modules

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金沢大学大学院自然科学研究科計算科学Recently, Hartwig and the second author found a presentation for the three-point 2 loop algebra via generators and relations. To obtain this presentation they defined an algebra by generators and relations, and displayed an isomorphism from to the three-point 2 loop algebra. We introduce a quantum analog of which we call q. We define q via generators and relations. We show how q is related to the quantum group Uq(2), the Uq(2) loop algebra, and the positive part of [image omitted]. We describe the finite dimensional irreducible q-modules under the assumption that q is not a root of 1, and the underlying field is algebraically closed.

収録刊行物

  • Communications in Algebra

    Communications in Algebra 35(11), 3415-3439, 2007-11-01

    Taylor & Francis

被引用文献:  1件中 1-1件 を表示

各種コード

  • NII論文ID(NAID)
    120001133194
  • NII書誌ID(NCID)
    AA00611371
  • 本文言語コード
    ENG
  • 資料種別
    Journal Article
  • ISSN
    0092-7872
  • データ提供元
    CJP引用  IR 
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