A. Tsymbaliuk

activity

20092026

gl_{1}

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135 citations · 516 across the 43 of their papers we have counts for

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math.RT2025

Bicharacter twists of quantum groups

Ian Martin, Alexander Tsymbaliuk

We apply the general construction of a twist of bigraded Hopf algebras by skew bicharacters to obtain two-parameter quantum groups in the Drinfeld-Jimbo, new Drinfeld (for affine t…

math.RT2025

Affine standard Lyndon words

Corbet Elkins, Alexander Tsymbaliuk

In this note, we establish the convexity and monotonicity for affine standard Lyndon words in all types, generalizing the $A$ -type results of arXiv:2305.16299. We also derive parti…

math.QA2025

Shuffle algebras and their integral forms: specialization map approach in types $C_{n}$ and $D_{n}$

Yue Hu, Alexander Tsymbaliuk

We construct a family of PBWD bases for the positive subalgebras of quantum loop algebras of type $C_{n}$ and $D_{n}$ , as well as their Lusztig and RTT integral forms, in the new Drinf…

Bicharacter twists of quantum groups

Affine standard Lyndon words

Shuffle algebras and their integral forms: specialization map approach in types Cn​ and Dn​

Shuffle algebras and their integral forms: specialization map approach in types $C_{n}$ and $D_{n}$