Pith. sign in

REVIEW 1 cited by

Combinatorial Formulae for Nested Bethe Vectors

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0702277 v3 pith:FBGPLSKD submitted 2007-02-10 math.QA math-phmath.MPmath.RT

Vitaly Tarasov , Alexander Varchenko This is my paper · ORCID
classification math.QAmath-phmath.MPmath.RT
keywords mathbethecombinatorialformulaemathfraknestedvectorswere
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({\mathfrak{gl}}_N)$ and the quantum affine algebra $U_q(\widetilde{{\mathfrak{gl}}_N})$. The results of the paper were obtained in 1998 and were used in math.QA/9905137, math.QA/0302148, math.QA/0610517.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Yangian Doubles and off-Shell Bethe Vectors

    nlin.SI 2026-07 unverdicted novelty 6.0 of 10

    Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.

Pith tools