The bar involution for quantum symmetric pairs

S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces , J. Math. Osaka City Univ. 13

1962

Earlier work this paper cites.

I.V. Cherednik, Factorizing particles on a half-line and root systems , Theoret. Math. Phys 61

1984

Earlier work this paper cites.

F. Levstein, A classification of involutive automorphisms of an affine Kac-Moody Lie algebra , J. Algebra 114

1988

Earlier work this paper cites.

E. Sklyanin, Boundary conditions for integrable quantum systems , J. Phys. A 21

1988

Earlier work this paper cites.

A. Beilinson, G. Lusztig, and R MacPherson, A geometric setting for the quantum deformation of G ​ L n {G}{L}_{n} , Duke Math. J. 61

1990

Earlier work this paper cites.

V. G. Kac, Infinite dimensional Lie algebras , 3rd. ed., Cambridge University Press, Cambridge, 1990

1990

Earlier work this paper cites.

V.G. Kac and S.P. Wang, On automorphisms of Kac-Moody algebras and groups , Adv. Math. 92

1992

Earlier work this paper cites.

E. Twietmeyer, Real forms of U q ​ ( 𝔤 ) {U}_{q}(\mathfrak{g}) , Lett. Math. Phys. 24

1992

Earlier work this paper cites.

P. Caldero, Éléments ad-finis de certains groupes quantiques , C. R. Acad. Sci. Paris (I) 316

1993

Cited alongside, same era.

A. Joseph and G. Letzter, Separation of variables for quantized enveloping algebras , Amer. J. Math. 116

1994

Cited alongside, same era.

G. Lusztig, Introduction to quantum groups , Birkhäuser, Boston, 1994

1994

Cited alongside, same era.

J.C. Jantzen, Lectures on quantum groups , Grad. Stud. Math., vol. 6, Amer. Math. Soc, Providence, RI, 1996

1996

Cited alongside, same era.

G. Letzter, Symmetric pairs for quantized enveloping algebras , J. Algebra 220

1999

Cited alongside, same era.

by same author, Coideal subalgebras and quantum symmetric pairs , New directions in Hopf algebras (Cambridge), MSRI publications, vol. 43, Cambridge Univ. Press, 2002, pp. 117–166

by same author, Quantum zonal spherical functions and Macdonald polynomials , Adv. Math. 189

2004

Later among the works it cites.

S. Kolb and J. Stokman, Reflection equation algebras, coideal subalgebras, and their centres , Selecta Math. (N.S.) 15

2009

Later among the works it cites.

H. Bao and W. Wang, A new approach to Kazhdan-Lusztig theory of type B B via quantum symmetric pairs , preprint, arXiv:1310.0103v1

Original

2013

Later among the works it cites.

M. Ehrig and C. Stroppel, Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality , preprint, arXiv:1310.1972v2

Original

2013

Later among the works it cites.

H. Bao, J. Kujawa, Y. Li, and W. Wang, Geometric Schur duality of classical type , preprint, arXiv:1404.4000v2

Original

2014