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On the representation theory of affine vertex algebras at collapsing levels

发布时间:2018-12-25 作者: 浏览次数:
Speaker Drazen Adamovic 教授 DateTime 2019.01.10(周四)上午 10:30-11:30
Place 6号楼2楼报告厅 Abstract   In the first part of the talk we recall recent results on affine vertex algebras and minimal affine W-algebras. A level k is called collapsing if the associated simple minimal affine W-algebra is isomorphic to its affine vertex subalgebra. We present a proof of complete reducibility of affine vertex algebras at these levels which uses the representation theory of affine W-algebras and concepts in conformal embeddings (joint project with V. Kac, P. Moseneder-Frajria, P. Papi and O. Perse). The existence of indecomposable and logarithmic modules will be also discussed.

Drazen Adamovic,萨格勒布大学教授。