Fetching the paper…
Reading the bibliography…
We give explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra and of its twisted analogues, corresponding to symplectic and orthogonal Lie algebras.
H. Weyl, Classical Groups, their Invariants and Representations
1946
Earlier work this paper cites.
A. Jucys, On the Young operators of the symmetric groups
1966
Earlier work this paper cites.
N. Bourbaki, Groupes et algèbres de Lie IV–VI
1968
Earlier work this paper cites.
A. Zelevinsky, Induced representations of reductive 𝔭 \mathfrak{p} -adic groups II
1980
Earlier work this paper cites.
P. Kulish, N. Reshetikhin and E. Sklyanin, Yang-Baxter equation and representation theory
1981
Earlier work this paper cites.
I. Cherednik, Factorized particles on the half-line and root systems
1984
Earlier work this paper cites.
I. Cherednik, On special bases of irreducible finite-dimensional representations of the degenerate affine Hecke algebra
1986
Earlier work this paper cites.
V. Drinfeld, Degenerate affine Hecke algebras and Yangians
1986
Earlier work this paper cites.
V. Drinfeld, A new realization of Yangians and quantized affine algebras
1988
Cited alongside, same era.
E. Sklyanin, Boundary conditions for integrable quantum systems
1988
Cited alongside, same era.
V. Chari and A. Pressley, Fundamental representations of Yangians and singularities of R R -matrices
1991
Cited alongside, same era.
G. Olshanski, Twisted Yangians and infinite-dimensional classical Lie algebras
1992
Cited alongside, same era.
T. Akasaka and M. Kashiwara, Finite-dimensional representations of quantum affine algebras , Publ. Res. Inst. Math. Sci. 33
1997
Cited alongside, same era.
T. Arakawa and T. Suzuki, Duality between 𝔰 𝔩 n ( ℂ ) \mathfrak{sl}_{n}({\mathbb{C}}) and the degenerate affine Hecke algebra
M. Nazarov, Mixed hook-length formula for degenerate affine Hecke algebras
2002
Later among the works it cites.
M. Nazarov and V. Tarasov, On irreducibility of tensor products of Yangian modules associated with skew Young diagrams
2002
Later among the works it cites.
A. Molev, V. Tolstoy and R. Zhang, On irreducibility of tensor products of evaluation modules for the quantum affine algebra
2004
Later among the works it cites.
A. Molev, Yangians and classical Lie algebras
2007
Later among the works it cites.
V. Guizzi, M. Nazarov and P. Papi, Cyclic generators for irreducible representations of affine Hecke algebras
2010
Later among the works it cites.
A. Isaev and A. Molev, Fusion procedure for the Brauer algebra
2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1998
Cited alongside, same era.
M. Nazarov and V. Tarasov, On irreducibility of tensor products of Yangian modules
1998
Cited alongside, same era.
V. Chari, Braid group actions and tensor products
2002
Cited alongside, same era.
S. Gautam and V. Toledano-Laredo, Yangians and quantum loop algebras
Cited in the paper.
S. Khoroshkin and M. Nazarov, Mickelsson algebras and representations of Yangians
Cited in the paper.
Closest in time.
S. Khoroshkin, M. Nazarov and E. Vinberg, A generalized Harish-Chandra isomorphism
2011
Closest in time.