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We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small.
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V. Drinfel’d, Hopf algebras and the quantum Yang-Baxter equation
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V. O. Tarasov, Irreducible monodromy matrices for an R-matrix of the XXZ model, and lattice local quantum Hamiltonians , (Russian) Teoret. Mat. Fiz. 63
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A. Molev, Representations of twisted Yangians
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G. Olshanskii, Twisted Yangians and infinite-dimensional classical Lie algebras , Quantum groups (Leningrad, 1990)
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1996
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2001
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2002
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D. Arnaudon, J. Avan, N. Crampé, L. Frappat, E. Ragoucy, R R -matrix presentation for super-Yangians Y ( osp ( m | 2 n ) ) Y(\mathrm{osp}(m|2n)) , J. Math. Phys. 44
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2006
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A. Molev, Skew representations of twisted Yangians
2006
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A. Molev, Yangians and Classical Lie Algebra
2007
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N. J. Mackay, V. Regelskis, Achiral boundaries and the twisted Yangian of the D5-brane
2011
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2013
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S. Belliard, N. Crampé, Coideal algebras from twisted Manin triple
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2003
Cited alongside, same era.
D. Arnaudon, A. Molev, E. Ragoucy, On the R R -matrix realization of Yangians and their representations , Ann. Henri Poincaré 7
2006
Cited alongside, same era.
N. Guay, V. Regelskis, Twisted Yangians for symmetric pairs of types B, C, D
Cited in the paper.
N. Guay, V. Regelskis, C. Wendlandt, Representations of twisted Yangians for symmetric pairs of types B, C, D: I
Cited in the paper.
2023
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