QP-structures of degree 3 and LWX 2-algebroids
Speaker: Yunhe Sheng, Jilin University and Penn State
Abstract: In this talk, we give the notion of an LWX 2-algebroid and show that a QP-structure of degree 3 gives rise to an LWX 2-algebroid. This is the higher analogue of the result that a QP-structure of degree 2 gives rise to a Courant algebroid. An LWX 2-algebroid can also be viewed as a categorified Courant algebroid. We show that one can obtain a Lie 3-algebra from an LWX 2-algebroid. Furthermore, LWX 2-algebroids are constructed from split Lie 2-algebroids and split Lie 2-bialgebroids.
Room Reservation Information
Room Number: 104 Osmond Building
Time: 2:35pm - 3:30pm