- Turkish Journal of Mathematics
- Vol: 29 Issue: 1
- SU(2) Representations of The Groups of Integer Tangles
SU(2) Representations of The Groups of Integer Tangles
Authors : Tangül Uygur
Pages : 99-109
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this work we classify the irreducible SU(2) representations of P1(S3\backslash kn) where kn is an integer n tangle and as a result we have proved the following theorem: Let n be an odd integer then \mathcal{R}\ast(P1(S3 \backslash kn)) /SO(3) is the disjoint union of n open arcs where \mathcal{R}\ast(P 1(S3 \backslash kn)) is the space of irreducible representations.Keywords : Representation space, knot group, quaternions