6533b838fe1ef96bd12a454c

RESEARCH PRODUCT

Extensions of Groups of Gauge Transformations

Jouko Mickelsson

subject

Pure mathematicsGauge groupDifferential formGroup (mathematics)Current algebraStructure (category theory)Lie groupAffine transformationGauge theoryMathematics

description

In this chapter we shall discuss the structure of the infinite-dimensional Lie groups associated to the affine Kac-Moody algebras. We shall also construct the group of the current algebra of a gauge field theory in 3+1 space-time dimensions and we shall study the implications of the commutation relations for the spin-statistics relation in 3+1 dimensions.

yearjournalcountryeditionlanguage
1989-01-01
https://doi.org/10.1007/978-1-4757-0295-8_4