Science in China Series A: Mathematics

, Volume 48, Issue 8, pp 1033–1045 | Cite as

BGP reflection functors in root categories



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.


m-cycle complexes derived categories BGP-reflections Kac-Moody algebras 


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Copyright information

© Science in China Press 2005

Authors and Affiliations

  1. 1.Department of Mathematical SciencesTsinghua UniversityBeijingChina
  2. 2.Department of MathematicsYancheng Teachers CollegeYanchengChina

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