Work

Triality in so(4,4), characteristic classes, D4 and G2 singularities

Year: 2013

Type: preprint

Abstract: We recall the construction of triality automorphism of so(8) given by E. Cartan and we give a matrix representation for the real form so(4,4). We compute the induced results on the characteristic classes. Paralelly we study the triality automorphism of the singularity D4 (in Arnolds classification of smooth functions) and its miniversal deformation. The similarity with Lie theory leads us to a definition of G2 singularity.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1311.0507

Authors: Mikosz, Malgorzata, Weber, Andrzej

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1814095906

Cites: 10

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Related to: 10