caa a22 4500 475738306 CHVBK 20180406123452.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1007/s002220000062 doi (NATIONALLICENCE)springer-10.1007/s002220000062 Triangulated categories and Kac-Moody algebras [Elektronische Daten] [Liangang Peng, Jie Xiao] Abstract. : By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T 2=1, where T is the translation functor. In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories of finite dimensional hereditary associative algebras, gives a realization of all symmetrizable Kac-Moody Lie algebras. Springer-Verlag Berlin Heidelberg, 2000 Mathematics Subject Classification (1991): 16G20, 17B67 nationallicence Secondary 16G10, 17B37 nationallicence Peng Liangang Department of Mathematics, Sichuan University, 610064 Chengdu, PR China¶(e-mail: penglg@mail.sc.cninfo.net), CN aut Xiao Jie Department of Mathematics, Tsinghua University, 100084 Beijing, PR China¶(e-mail: jxiao@math.tsinghua.edu.cn), CN aut https://doi.org/10.1007/s002220000062 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000062 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Peng Liangang Department of Mathematics, Sichuan University, 610064 Chengdu, PR China¶(e-mail: penglg@mail.sc.cninfo.net), CN aut NATIONALLICENCE 700 1- Xiao Jie Department of Mathematics, Tsinghua University, 100084 Beijing, PR China¶(e-mail: jxiao@math.tsinghua.edu.cn), CN aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer