Title: Twisted modules for affine vertex algebras overfields of prime characteristic
Speaker: Prof. Qiang Mu ( Harbin Normal University )
Time: Fri, Nov.13 2020, PM: 16:45-17:45
Location: Tencent Conference
Meeting Number: 551 799 837
Password: 201113
Inviter: Dr. Ming Liu
Abstract：
In this paper, twisted modules for modular affine vertex algebras Vg (1,0) and for their quotient vertex algebras Vg X(1,0) with g a restricted Lie algebra are studied. Let σ be an automorphism of g and let T be a positive integer relatively prime with the characteristic p such that σT=1. It is proved that 1/τ N-graded irreducible σ-twisted Vg 0(1,0)-modules are in one-to-one correspondence with irreducible modules for the restricted enveloping algebra u(g0), where g0 is the subalgebra of σ-fixed pointsin g. It is also proved that when g=h is abelian, the twisted Heisenberg Lie algbra h[σ] is actually isomophic to the untwisted Heisenberg Lie algebra h, unlike in the case of characteristic zero. Further more, irreducible σ-twisted Lh(1,0)-modules are classified and a complete reducibility is obtained.
