SU(2) Representations of The Groups of Integer Tangles

Authors : Tangül UYGUR

Pages : 99-109

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this work we classify the irreducible SUinsert ignore into journalissuearticles values(2); representations of P1insert ignore into journalissuearticles values(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}\astinsert ignore into journalissuearticles values(P1insert ignore into journalissuearticles values(S3 \backslash kn);); /SOinsert ignore into journalissuearticles values(3); is the disjoint union of n open arcs where \mathcal{R}\astinsert ignore into journalissuearticles values(P 1insert ignore into journalissuearticles values(S3 \backslash kn);); is the space of irreducible representations.
Keywords : Representation space, knot group, quaternions