Kostant-Lusztig $\mathbb A$-bases of Multiparameter Quantum Groups
Abstract
We study the Kostant-Lusztig $\mathbb A$-base of the multiparameter quantum groups. To simplify calculations, especially for $G_2$-type, we utilize the duality of the pairing of the universal $R$-matrix.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2017
- DOI:
- arXiv:
- arXiv:1709.08572
- Bibcode:
- 2017arXiv170908572J
- Keywords:
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- Mathematics - Quantum Algebra;
- 17B37;
- 17B10 (Primary) 81R50 (Secondary)
- E-Print:
- Submitted to Contemporary Math. on July 21, 2017