Tokyo Journal of Mathematics

Invariance of the Drinfeld Pairing of a Quantum Group

Toshiyuki TANISAKI

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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.

Article information

Source
Tokyo J. Math., Volume 39, Number 3 (2017), 885-900.

Dates
First available in Project Euclid: 6 October 2016

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1475723090

Digital Object Identifier
doi:10.3836/tjm/1475723090

Mathematical Reviews number (MathSciNet)
MR3634297

Zentralblatt MATH identifier
06727290

Subjects
Primary: 20G05: Representation theory
Secondary: 17B37: Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]

Citation

TANISAKI, Toshiyuki. Invariance of the Drinfeld Pairing of a Quantum Group. Tokyo J. Math. 39 (2017), no. 3, 885--900. doi:10.3836/tjm/1475723090. https://projecteuclid.org/euclid.tjm/1475723090


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References

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