Quantum groups, R-matrices and factorization

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2015

Author

Çelik, Münevver

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R-matrices are solutions of the Yang-Baxter equation. They give rise to link invariants. Quantum groups can be used to obtain R-matrices. Roughly speaking, Drinfeld’s quantum double corresponds to LU-decomposition. We proved a partial result concerning factorization of the quantum group M_{p,q} (n) into simpler pieces to ease the computations.

Subject Keywords

R-matrices., Quantum groups., Knot theory., Matrices.

URI

http://etd.lib.metu.edu.tr/upload/12619360/index.pdf
https://hdl.handle.net/11511/25186

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Çelik, “Quantum groups, R-matrices and factorization,” Ph.D. - Doctoral Program, Middle East Technical University, 2015.