Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians

Built on

V. G. Drinfeld, A new realization of Yangians and quantized affine algebras, Soviet Math. Dokl
1988
Earlier work this paper cites.
A. I. Molev, Gelfand–Tsetlin basis for representations of Yangians, Lett. Math. Phys
1994
Earlier work this paper cites.
M. Nazarov and V. Tarasov, Yangians and Gelfand–Zetlin bases, Publ. Res. Inst. Math. Sci. Kyoto Univ
1994
Earlier work this paper cites.

M. Nazarov and V. Tarasov, Representations of Yangians with Gelfand–Zetlin bases, J. Reine Angew. Math
1998
Cited alongside, same era.
E. Ragoucy and P. Sorba, Yangian realisations from finite 𝒲 {\mathcal{W}} -algebras, Comm. Math. Phys
1999
Cited alongside, same era.
C. Briot and E. Ragoucy, RTT presentation of finite 𝒲 {\mathcal{W}} -algebras, J. Phys. A
2001
Cited alongside, same era.
J. Brown and J. Brundan, Elementary invariants for centralizers of nilpotent matrices, J. Austral. Math. Soc
Cited in the paper.
J. Brundan and A. Kleshchev, Representations of shifted Yangians and finite W W -algebras, Memoirs AMS
Cited in the paper.
V. Futorny, A. Molev and S. Ovsienko, Gelfand–Kirillov conjecture and Harish-Chandra modules for finite W W -algebras, in preparation
Cited in the paper.
V. Futorny and S. Ovsienko, Galois orders, preprint arXiv:math/0610069
Cited in the paper.
V. Futorny and S. Ovsienko, Fibers of characters in Harish-Chandra categories, preprint arXiv:math/0610071
Cited in the paper.

J. Brundan and A. Kleshchev, Parabolic presentations of the Yangian Y ⁡ ( 𝔤 𝔩 n ) {\rm Y}(\mathfrak{gl}_{n}) , Comm. Math. Phys
2005
Later among the works it cites.
J. Brundan and A. Kleshchev, Shifted Yangians and finite W W -algebras, Adv. Math
2006
Later among the works it cites.
A. Molev, Yangians and classical Lie algebras
2007
Closest in time.