Drinfeld functor and finite-dimensional representations of Yangian
T Arakawa - Communications in mathematical physics, 1999 - Springer
Drinfeld Functor and Finite-Dimensional Representations of Yangian Page 1 Commun. Math.
Phys. 205, 1 – 18 (1999) Communications in Mathematical Physics © Springer-Verlag 1999 …
Phys. 205, 1 – 18 (1999) Communications in Mathematical Physics © Springer-Verlag 1999 …
Gelfand-Tsetlin basis for representations of Yangians
AI Molev - letters in mathematical physics, 1994 - Springer
We construct an analog of the Gelfand-Tsetlin basis in the finite-dimensional irreducible
representations of Yangians and find the matrix elements of the Drinfeld generators in this …
representations of Yangians and find the matrix elements of the Drinfeld generators in this …
[PDF][PDF] Drinfel'd twists and functional Bethe ansatz
V Terras - arXiv preprint math-ph/9902009, 1999 - arxiv.org
arXiv:math-ph/9902009v1 5 Feb 1999 Page 1 arXiv:math-ph/9902009v1 5 Feb 1999
LPENSL-TH-01/99 Drinfel’d Twists and Functional Bethe Ansatz V. TERRAS Laboratoire de …
LPENSL-TH-01/99 Drinfel’d Twists and Functional Bethe Ansatz V. TERRAS Laboratoire de …
The Formulae of Kontsevich and Verlinde¶ from the Perspective of the Drinfeld Double
C Klimĉík - Communications in Mathematical Physics, 2001 - Springer
A two dimensional gauge theory is canonically associated to every Drinfeld double. For
particular doubles, the theory turns out to be eg the ordinary Yang–Mills theory, the G/G …
particular doubles, the theory turns out to be eg the ordinary Yang–Mills theory, the G/G …
KZ equation, G-opers, quantum Drinfeld–Sokolov reduction, and quantum Cayley–Hamilton identity
D Talalaev, A Chervov - Journal of Mathematical Sciences, 2009 - Springer
The Lax operator of Gaudin-type models is a 1-form at the classical level. In virtue of the
quantization scheme proposed by D. Talalaev, it is natural to treat the quantum Lax operator …
quantization scheme proposed by D. Talalaev, it is natural to treat the quantum Lax operator …
Yangians: their representations and characters
V Chari, A Pressley - Acta Applicandae Mathematica, 1996 - Springer
The finite-dimensional irreducible representations of the Yangian of sl 2 are parametrized by
their highest weights, which are monic polynomials in one variable. In this paper, we give a …
their highest weights, which are monic polynomials in one variable. In this paper, we give a …
From quantum Schubert polynomials to k-Schur functions via the Toda lattice
T Lam, M Shimozono - arXiv preprint arXiv:1010.4047, 2010 - arxiv.org
We show that Lapointe-Lascoux-Morse k-Schur functions (at t= 1) and Fomin-Gelfand-
Postnikov quantum Schubert polynomials can be obtained from each other by a rational …
Postnikov quantum Schubert polynomials can be obtained from each other by a rational …
Isomorphism Between the R-Matrix and Drinfeld Presentations of Yangian in Types B, C and D
It is well-known that the Gauss decomposition of the generator matrix in the R-matrix
presentation of the Yangian in type A yields generators of its Drinfeld presentation. Defining …
presentation of the Yangian in type A yields generators of its Drinfeld presentation. Defining …
Super Yangian Y(osp(1|2)) and the Universal R-matrix of Its Quantum Double
We present the Drinfel'd realisation of the super Yangian Y (osp (1| 2)), including the explicit
expression for the coproduct. We show in particular that it is necessary to introduce …
expression for the coproduct. We show in particular that it is necessary to introduce …
[HTML][HTML] A categorification of quantum sl (2) at prime roots of unity
B Elias, Y Qi - Advances in Mathematics, 2016 - Elsevier
A categorification of quantum sl(2) at prime roots of unity - ScienceDirect Skip to main
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