We present an explicit closed formula for the bilinear form on an orthogonal basis of Specht modules. Using this formula, we deduce a combinatorial formula for the Schur elements of the degenerate cyclotomic Hecke algebras.
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Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
He, Zhekun
Hu, Jun
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Beijing Inst Technol, Sch Math & Stat, MIIT Key Lab Math Theory & Computat Informat Secur, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Hu, Jun
Lin, Huang
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Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
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Beijing Normal Univ Zhuhai, Sch Appl Math, Zhuhai 519087, Peoples R ChinaBeijing Normal Univ Zhuhai, Sch Appl Math, Zhuhai 519087, Peoples R China
Zhao, Deke
Li, Yanbo
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Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Peoples R ChinaBeijing Normal Univ Zhuhai, Sch Appl Math, Zhuhai 519087, Peoples R China