[1] P. Boalch, Simply-laced isomonodromy systems, Publ. Math. Inst. Hautes Etudes
Sci. 116,
No. 1 (2012), 1–68.
[2] K. Fuji and T. Suzuki, Drinfeld-Sokolov hierarchies of type A and fourth order Painlev´e
systems, Funkcial. Ekvac. 53 (2010), 143–167.
[3] R. Garnier, Sur des ´equations diff´erentielles du troisi`eme ordre dont l’int´egrale g´en´erale est
uniforme et sur une classe d’´equations nouvelles d’ordre sup´erieur dont l’int´egrale g´en´erale
´ Norm. Sup´er. 29 (1912), 1–126.
a ses points critiques fixes, Ann. Sci. Ec.
[4] K. Hiroe, H. Kawakami, A. Nakamura, and H. Sakai, 4-dimensional Painlev´e-type equations, MSJ Memoirs 37 (2018).
[5] C. Hardouin, J. Sauloy, and M. F. Singer, Galois theories of linear difference equations:
an introduction, Mathematical Surveys and Monographs Volume 211, American Mathematical Society (2016).
[6] M. Jimbo and H. Sakai, A q-analog of the sixth Painlev´e equation, Lett. Math. Phys. 38
(1996), 145–154.
[7] N. M. Katz, Rigid local systems, Annals of Mathematics Studies 139, Princeton University
Press (1995).
[8] H. Kawakami,
Matrix Painlev´e systems,
J. Math. Phys. 56 (2015),
doi.org/10.1063/1.4914369.
[9] H. Kawakami, Four-dimensional Painlev´e-type equations associated with ramified linear
equations III: Garnier systems and FS systems, SIGMA 13 (2017), 096, 50 pages.
[10] H. Kawakami, Four-dimensional Painlev´e-type equations associated with ramified linear
equations II: Sasano systems, Journal of Integrable Systems, Volume 3, Issue 1 (2018),
xyy013.
[11] H. Kawakami, Four-dimensional Painlev´e-type equations associated with ramified linear
equations I: Matrix Painlev´e systems, Funkcial. Ekvac. 63 (2020), 97–132.
[12] H. Kawakami, A q-analogue of the matrix sixth Painlev´e system, J. Phys. A: Math.
Theor. 53 (2020).
[13] H. Kawakami, Four-dimensional Painlev´e-type difference equations, arXiv:1802.00116.
[14] T. Masuda, A q-analogue of the higher order Painlev´e type equations with the affine Weyl
group symmetry of type D, Funkcial. Ekvac. 58 (2015), 405–430.
[15] T. Oshima, Fractional calculus of Weyl algebra and Fuchsian differential equations, MSJ
Memoirs 28 (2012).
[16] H. Sakai, Rational surfaces associated with affine root systems and geometry of the
Painlev´e equations, Comm. Math. Phys. 220 (2001), 165–229.
[17] H. Sakai, A q-analog of the Garnier system, Funkcial. Ekvac. 48 (2005), 273–297.
[18] H. Sakai and M. Yamaguchi, Spectral types of linear q-difference equations and q-analog
of middle convolution, Int. Math. Res. Not., Volume 2017, Issue 7 (2017), 1975–2013.
´ system
A q-analogue of the matrix fifth Painleve
19
[19] Y. Sasano, Coupled Painleve VI systems in dimension four with affine Weyl group sym(1)
okyˆ
uroku Bessatsu B5 (2008), 137–152.
metry of type D6 . II, RIMS Kˆ
[20] T. Suzuki, A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painlev´e system,
AMS Contemp. Math. 651 (2015), 25–38.
[21] T. Tsuda, On an Integrable System of q-Difference Equations Satisfied by the Universal
Characters: Its Lax Formalism and an Application to q-Painlev´e Equations, Comm. Math.
Phys. 293 (2010), 347–359.
[22] T. Tsuda, UC hierarchy and monodromy preserving deformation, J. Reine Angew.
Math. 690 (2014), 1–34.
...