论文标题
谎言2组和2载体束的2个代表
2-Representations of Lie 2-groups and 2-Vector Bundles
论文作者
论文摘要
默里（Murray），罗伯茨（Roberts）和沃克尔（Wockel）表明，使用自由环组没有严格的字符串2组模型。取而代之的是，他们使用自由循环组构建了弦2组的连贯模型，并为所有结构提供明确的公式。根据他们的期望，我们为连贯的谎言2组和一些具体示例建立了2种代表的类别。我们还讨论了这一2个代表和表示类别之间的关系。此外，我们构建了一个模型的2载体束。最后，我们讨论了字符串2代表的伴随动作。
Murray, Roberts and Wockel showed that there is no strict model of the string 2-group using the free loop group. Instead, they construct the next best thing, a coherent model for the string 2-group using the free loop group, with explicit formulas for all structure. Based on their expectations, we build a category of 2-representations for coherent Lie 2-groups and some concrete examples. We also discuss the relation between this category of 2-representations and the category of representations. In addition, we construct a model of equivariant 2-vector bundles. At the end, we discuss the adjoint action on the string 2-representations.
