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SEMINARS
On collapsing levels and related topics
时间  Datetime
2019-08-29 16:30 — 17:30 
地点  Venue
630
报告人  Speaker
Paolo Papi
单位  Affiliation
Dipartimento di Matematica Sapienza Università di Roma, Italy
邀请人  Host
Cuipo Jiang
报告摘要  Abstract

 

Let g be a simple Lie algebra and W be the simple W-algebra, associated to g and to a

to a minimal nilpotent element  in g. A level k is called collapsing if W is isomorphic to

its affine vertex subalgebra. Collapsing levels have been investigated jointly with Adamovic,

Kac, Moseneder Frajria and Perse, in connection with the representation theory of the simple

affine vertex algebra associated to g. We will discuss applications of this notion, 

in particular to the semisimplicity of a certain remarkable category of representations.