论文标题
谎言代数的同源部分
Homological sections of Lie algebroids
论文作者
论文摘要
我们检查了配备有同源部分的谎言（超级）代数（超级）代数，即“自我交换”的奇数部分，我们将这种谎言代数为内部q algebroids：这些提供了自然的示例。这种谎言代数是对Q-manifolds的自然概括，并躺在配备同源元素的超级甲壳虫中。在其他结果中，我们表明，通过衍生的括号形式主义，内部Q- algebroid的部分空间配备了一个奇数的loday-leibniz支架。
We examine Lie (super)algebroids equipped with a homological section, i.e., an odd section that `self-commutes', we refer to such Lie algebroids as inner Q-algebroids: these provide natural examples of suitably "superised" Q-algebroids in the sense of Mehta. Such Lie algebroids are a natural generalisation of Q-manifolds and Lie superalgebras equipped with a homological element. Amongst other results, we show that, via the derived bracket formalism, the space of sections of an inner Q-algebroid comes equipped with an odd Loday-Leibniz bracket.
