Spin representations with negative indices
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Abstract
We consider the spin representation of Artin's braid group, which has a negative index of one and was originally given by D. D. Long and explicitly computed by J.P.Tian. In our work, we find sufficient conditions under which the complex specialization of that representation, namely $\alpha :B_{n}\to GL_{n^{2}}(\mathbb C)$, is unitary relative to a nonsingular hermitian matrix.
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Al-Tahan, M., Abdulrahim, M. N., & Habre, S. S. (2014). Spin representations with negative indices. Tamkang Journal of Mathematics, 45(4), 367–374. https://doi.org/10.5556/j.tkjm.45.2014.1457
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References
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