Invariance of the Drinfeld Pairing of a Quantum Group

Toshiyuki TANISAKI

doi:10.3836/tjm/1475723090

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Home > Journals > Tokyo J. Math. > Volume 39 > Issue 3 > Article

March 2017 Invariance of the Drinfeld Pairing of a Quantum Group

Toshiyuki TANISAKI

Tokyo J. Math. 39(3): 885-900 (March 2017). DOI: 10.3836/tjm/1475723090

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Abstract

We give two alternative proofs of the invariance of the Drinfeld pairing under the action of the braid group. One uses the Shapovalov form, and the other uses a characterization of the universal $R$-matrix.

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Toshiyuki TANISAKI. "Invariance of the Drinfeld Pairing of a Quantum Group." Tokyo J. Math. 39 (3) 885 - 900, March 2017. https://doi.org/10.3836/tjm/1475723090