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arXiv · 1909.11814

Duality of Lusztig and RTT integral forms of $U_v(L\mathfrak{sl}_n)$

Alexander Tsymbaliuk
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Abstract

We show that the Lusztig integral form is dual to the RTT integral form of the type A quantum loop algebra with respect to the new Drinfeld pairing, by utilizing the shuffle algebra realization of the former and the PBWD bases of the latter obtained in arXiv:1808.09536.

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BibTeXRIS

Alexander Tsymbaliuk. 2019-09-25. Duality of Lusztig and RTT integral forms of $U_v(L\mathfrak{sl}_n)$. https://doi.org/10.1016/j.jpaa.2020.106469

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