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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Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China
Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R ChinaHubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China
Li, Huanhuan
Xu, Yunge
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Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China
Xu, Yunge
Chen, Yuan
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Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R ChinaHubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China