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- W2671880704 abstract "Pascal Baseilhac and Stefan Kolb recently introduced the Lusztig automorphism $L$ of the $q$-Onsager algebra $mathcal O_q$. In this paper, we express each of $L, L^{-1}$ as a formal sum involving some quantum adjoints. In addition, (i) we give a computer-free proof that $L$ exists; (ii) we establish the higher order $q$-Dolan/Grady relations previously conjectured by Baseilhac and Thao Vu; (iii) we obtain a Lusztig automorphism for the current algebra $mathcal A_q$ associated with $mathcal O_q$; (iv) we describe what happens when a finite-dimensional irreducible $mathcal O_q$-module is twisted via $L$." @default.
- W2671880704 created "2017-06-30" @default.
- W2671880704 creator A5059249005 @default.
- W2671880704 date "2017-06-17" @default.
- W2671880704 modified "2023-09-27" @default.
- W2671880704 title "The Lusztig automorphism of the $q$-Onsager algebra" @default.
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