135 citations · 516 across the 43 of their papers we have counts for
4 papers · 1 filter
Scary Wheels (and Super Shrubs)
Andrei Neguţ, Alexander Tsymbaliuk
We prove the shuffle realization for quantum affine superalgebras of types in the loop realization, in that we construct an isomorphism between each of these algebras and a…
Chains of affine standard Lyndon words
Corbet Elkins, Alexander Tsymbaliuk
In this note, we establish the periodicity of chains of affine standard Lyndon words in all types and determine tight bounds on that periodicity, greatly generalizing the -type…
Orthosymplectic quantum groups revisited
Kyungtak Hong, Alexander Tsymbaliuk
We present the RLL-realization of extended orthosymplectic quantum supergroups for any parity sequence, with R-matrices evaluated in the earlier work arxiv:2408.16720. Our isomorph…
On De Concini-Kac forms of quantum groups
Ivan Losev, Alexander Tsymbaliuk, Trung Vu
Quantum groups of semisimple Lie algebras at roots of unity admit several different forms. Among them is the De Concini-Kac form, which is the easiest to define but, perhaps, harde…