Seminarium z Topologii Algebraicznej
Wtorki, 12:15-13:45, sala 4070
19.XI.2013
Andrzej Weber
Triality in so(4,4), characteristic classes, D4 and G2 singularities
We recall the construction of triality in so(8) given by E. Cartan and we give a matrix definition for this automorphism for the real form so(4,4). Next we compute the induced results on the characteristic classes (Pontryagin and Stiefel-Whitney classes).
Paralelly we study the triality automorphism of the singularity D4 (in Arnolds classification of smooth functions) and its miniversal deformation. A similarity with Lie theory leads us to a definition of G2 singularity.
The paper, pictures and computations