slideshow 3

Cohomology in algebra, geometry, physicsand statistics

Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2

Speaker’s name: 
Andrey Krutov
Speaker’s affiliation: 
Institute of Mathematics of the Czech Academy of Sciences


in IM building, front building, ground floor, konirna seminar room +ZOOM meeting
Wednesday, 30. March 2022 - 13:30 to 14:30
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the algebraically closed ground field is not 2.
We prove that in characteristic 2, the superdimension of the space spanned by NISes can be equal to 0, or 1, or 0|1, or 1|1; it is equal to 1|1 if and only if the Lie superalgebra is a queerification (defined in arXiv:1407.1695) of a simple classically restricted Lie algebra with a NIS (for examples, mainly in characteristic distinct from 2, see arXiv:1806.05505).

We shall meet   this  time  at    the   seminar   room KONIRNA,  ground floor, front building  of IM.     We open the  seminar  room
at 13.15 for  coffee  and  close at 15.00.
Join Zoom Meeting
Meeting ID: 995 9841 3922
Passcode: Galois