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BGP reflection functors in root categories

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Abstract

We define the BGP-reflection functors in the derived categories and the root categories. By Ringel’s Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie algebra.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

    Jie Xiao, Guanglian Zhang & Bin Zhu

  2. Department of Mathematics, Yancheng Teachers College, 224002, Yancheng, China

    Guanglian Zhang

Authors
  1. Jie Xiao
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  2. Guanglian Zhang
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  3. Bin Zhu
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Corresponding author

Correspondence to Jie Xiao.

Additional information

This paper is dedicated to Professor Zou Zhongzhu for his 70th birthday.

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Xiao, J., Zhang, G. & Zhu, B. BGP reflection functors in root categories. Sci. China Ser. A-Math. 48, 1033–1045 (2005). https://doi.org/10.1360/04ys0082

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  • DOI: https://doi.org/10.1360/04ys0082

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