We construct explicit bases of simple modules and Bernstein-Gelfand-Gelfand (BGG) resolutions of all simple modules of the (graded) Temperley-Lieb algebra of type B over a field of characteristic zero.
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Catholic Kwandong Univ, Dept Math Educ, Gangwondo 25601, South KoreaCatholic Kwandong Univ, Dept Math Educ, Gangwondo 25601, South Korea
Lee, Jeong-Yup
Lee, Dong-il
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Seoul Womens Univ, Dept Math, Seoul 01797, South KoreaCatholic Kwandong Univ, Dept Math Educ, Gangwondo 25601, South Korea
Lee, Dong-il
Kim, SungSoon
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Univ Picardie JV Math, LAMFA CNRS UMR 7352, F-80039 Amiens, France
IMJ PRG Univ Paris 7, Equipe Grp, Paris, FranceCatholic Kwandong Univ, Dept Math Educ, Gangwondo 25601, South Korea