The Ringel-Hall Lie algebra of a spherical object
نویسندگان
چکیده
For an integer w, let Sw be the algebraic triangulated category generated by a w-spherical object. We determine the Picard group of Sw and show that each orbit category of Sw is triangulated and is triangle equivalent to a certain orbit category of the bounded derived category of a standard tube. Moreover, we describe the Ringel–Hall Lie algebra associated to Sw in the sense of Peng and Xiao.
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 85 شماره
صفحات -
تاریخ انتشار 2012