1986
DOI: 10.1142/0352
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Theory of Group Representations and Applications

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Cited by 990 publications
(1,493 citation statements)
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“…It follows then from the transformation laws (2) and from the fact that dµ(g) = dµ(f −1 g f ) for any group element f that the amplitude ψ(g; γ) should actually be the function on the group classes [13,14], that is:…”
Section: Distribution Of Parallel Transporters On the Group Manifoldmentioning
confidence: 99%
See 1 more Smart Citation
“…It follows then from the transformation laws (2) and from the fact that dµ(g) = dµ(f −1 g f ) for any group element f that the amplitude ψ(g; γ) should actually be the function on the group classes [13,14], that is:…”
Section: Distribution Of Parallel Transporters On the Group Manifoldmentioning
confidence: 99%
“…for any element f of the gauge group G. It is known from the theory of harmonic analysis on compact groups that the characters of irreducible unitary representations of simple compact group build full orthonormal basis in the Hilbert space of functions on the group classes [13,14], therefore the function ψ(g; γ) can be decomposed as:…”
Section: Distribution Of Parallel Transporters On the Group Manifoldmentioning
confidence: 99%
“…Let ( , ) be any hermitian product on V. Since T is compact, there exists a left invariant (Haar) measure p on T (see x [3]). For v,w e V we define <v,w> := J (rt(g)v, T jt(g)w)dy (g).…”
Section: Jm Myezewskimentioning
confidence: 99%
“…it admits a transitive group G of isometries) if and only if there exists a tensor field T of type (1,2) …”
Section: Introductionmentioning
confidence: 99%