Tangül UYGUR

6289

SU(2) Representations of The Groups of Integer Tangles

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.

Anahtar Kelimeler:

Representation space, knot group, quaternions

SU(2) Representations of The Groups of Integer Tangles

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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