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A. Tsymbaliuk

44 papers hereh-index 16921 citations64 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author9
  • middle author3
  • last author26

Across the 38 of 44 papers where every author was matched, so the position is known.

fields
  • math.RT33
  • physics.ins-det6
  • math.QA2
  • hep-th1
  • math-ph1
  • nucl-ex1
same name
  • A. Tsymbaliuk — 1 paper, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20092026
most citedThe affine Yangian of gl1​ revisited

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

collaborators
Showing 2021 · math.RTShow all

3 papers · 2 filters

math.RT2021★ 5 cited

Transfer matrices of rational spin chains via novel BGG-type resolutions

Rouven Frassek, Ivan Karpov, Alexander Tsymbaliuk

We obtain BGG-type formulas for transfer matrices of irreducible finite-dimensional representations of the classical Lie algebras g, whose highest weight is a multiple…

math.RT2021★ 12 cited

Rational Lax matrices from antidominantly shifted extended Yangians: BCD types

Rouven Frassek, Alexander Tsymbaliuk

Generalizing our recent joint paper with Vasily Pestun (arXiv:2001.04929), we construct a family of SO(2r),Sp(2r),SO(2r+1) rational Lax matrices, polynomial in the spectral param…

math.RT2021★ 8 cited

Quantum loop groups and shuffle algebras via Lyndon words

Andrei Neguţ, Alexander Tsymbaliuk

We study PBW bases of the untwisted quantum loop group Uq​(Lg) (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.