Modules over regular algebras of dimension 3, Invent. Math, vol.106, issue.2, pp.335-388, 1991. ,
Graded algebras of global dimension 3, Adv. in Math, vol.66, issue.2, pp.171-216, 1987. ,
Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua, Nuclear Phys. B, vol.589, issue.1-2, pp.196-248, 2000. ,
Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras, J. Noncommut. Geom, vol.1, issue.2, pp.241-270, 2007. ,
Noncommutative Painlevé equations and systems of Calogero type, Comm. Math. Phys, vol.363, issue.2, pp.503-530, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01609147
Quantum mirrors of log-calabi-yau surfaces and higher genus curve counting, 2018. ,
Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type, J. Algebra, vol.181, issue.2, pp.315-328, 1996. ,
Quadratic differentials as stability conditions, Publ. Math. Inst. HautesÉtudes Sci, vol.121, pp.155-278, 2015. ,
Shear coordinate description of the quantized versal unfolding of a D 4 singularity, J. Phys. A, vol.43, issue.44, p.13, 2010. ,
Painlevé monodromy manifolds, decorated character varieties, and cluster algebras, Int. Math. Res. Not. IMRN, issue.24, pp.7639-7691, 2017. ,
Double affine Hecke algebras, Knizhnik-Zamolodchikov equations, and Macdonald's operators, Internat. Math. Res. Notices, issue.9, pp.171-180, 1992. ,
Whittaker limits of difference spherical functions, Int. Math. Res. Not. IMRN, issue.20, pp.3793-3842, 2009. ,
Les houches lecture in constructing string vacua, String Theory and the Real World. From Particle Physics to Astrophysics, Proc. Summer School in Theor. Physics, pp.483-610, 2008. ,
The Van den Bergh duality and the modular symmetry of a Poisson variety, Selecta Math. (N.S.), vol.14, issue.2, pp.199-228, 2009. ,
Noncommutative del Pezzo surfaces and Calabi-Yau algebras, J. Eur. Math. Soc. (JEMS), vol.12, issue.6, pp.1371-1416, 2010. ,
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces, Adv. Math, vol.212, issue.2, pp.749-796, 2007. ,
Monodromy-and spectrum-preserving deformations. I, Comm. Math. Phys, vol.76, issue.1, pp.65-116, 1980. ,
Cluster algebras and Poisson geometry, Mathematical Surveys and Monographs, vol.167, 2010. ,
New constructions of mirror manifolds: probing moduli space far from Fermat points, Essays on mirror manifolds, pp.408-448, 1992. ,
Une histoire du théorème de Poincaré-Birkhoff-Witt, Expo. Math, vol.22, issue.2, pp.145-184, 2004. ,
Mirror symmetry for log Calabi-Yau surfaces I, Publ. Math. Inst. HautesÉtudes Sci, vol.122, pp.65-168, 2015. ,
Three dimensional Sklyanin algebras and Gröbner bases, J. Algebra, vol.470, pp.379-419, 2017. ,
Classification of quadratic and cubic pbw algebras on three generators, 2018. ,
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients, II. Phys. D, vol.2, issue.3, pp.407-448, 1981. ,
The relationship between Zhedanov's algebra AW(3) and the double affine Hecke algebra in the rank one case, SIGMA Symmetry Integrability Geom. Methods Appl, vol.3, 2007. ,
Conformal sl 2 enveloping algebras, Comm. Algebra, vol.23, issue.4, pp.1325-1362, 1995. ,
Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme, Nonlinearity, vol.29, issue.9, pp.2565-2608, 2016. ,
Whittaker degenerations of gdaha. in progress, 2019. ,
Symmetries and invariants of twisted quantum algebras and associated Poisson algebras, Rev. Math. Phys, vol.20, issue.2, pp.173-198, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00212291
The classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relations, Math. Z, vol.287, issue.1-2, pp.215-241, 2017. ,
Askey-Wilson polynomials: an affine Hecke algebra approach, In Laredo Lectures on Orthogonal Polynomials and Special Functions, pp.111-144, 2004. ,
Double affine Hecke algebras of rank 1 and affine cubic surfaces, Int. Math. Res. Not, issue.18, pp.877-912, 2004. ,
Rational degeneration of elliptic quadratic algebras, Infinite analysis, Part A, B (Kyoto, vol.16, pp.773-779, 1991. ,
An analogue of the Sklyanin algebra, Funktsional. Anal. i Prilozhen, vol.20, issue.2, pp.78-79, 1986. ,
Sklyanin's elliptic algebras. The case of a point of finite order, Funktsional. Anal. i Prilozhen, vol.29, issue.2, pp.9-21, 1995. ,
Polynomial Poisson algebras with a regular structure of symplectic leaves, Teoret. Mat. Fiz, vol.133, issue.1, pp.3-23, 2002. ,
Sur les feuilletages associés auxéquations du second ordreà points critiques fixes de P. Painlevé, Japan. J. Math. (N.S.), vol.5, issue.1, pp.1-79, 1979. ,
On the Heisenberg invariance and the elliptic Poisson tensors, Lett. Math. Phys, vol.96, issue.1-3, pp.263-284, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00619673
Mémoire sur leséquations différentielles dont l'intégrale générale est uniforme, Bull. Soc. Math. France, vol.28, pp.201-261, 1900. ,
Poisson structures and birational morphisms associated with bundles on elliptic curves, Internat. Math. Res. Notices, issue.13, pp.683-703, 1998. ,
Quadratic algebras, University Lecture Series, vol.37, 2005. ,
, Priddy. Koszul resolutions. Trans. Amer. Math. Soc, vol.152, pp.39-60, 1970.
Computer calculation ,
, Elliptic double affine hecke algebras, 2017.
Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation, J. Phys. A, vol.43, issue.50, p.13, 2010. ,
Mirror symmetry of elliptic curves and Ising model, J. Geom. Phys, vol.20, issue.2-3, pp.273-296, 1996. ,
Nonsymmetric Koornwinder polynomials and duality, Ann. of Math, vol.150, issue.2, pp.267-282, 1999. ,
Rational surfaces associated with affine root systems and geometry of the Painlevé equations, Comm. Math. Phys, vol.220, issue.1, pp.165-229, 2001. ,
The PBW property for associative algebras as an integrability condition, Math. Res. Lett, vol.21, issue.6, pp.1407-1434, 2014. ,
Degenerate" 3-dimensional Sklyanin algebras are monomial algebras, J. Algebra, vol.358, pp.74-86, 2012. ,
Mirror symmetry is T -duality, Nuclear Phys. B, vol.479, issue.1-2, pp.243-259, 1996. ,
The universal Askey-Wilson algebra and DAHA of type (C ? 1 , C 1 ). SIGMA Symmetry Integrability Geom, Methods Appl, vol.9, 2013. ,
Calabi-yau algebras, 2006. ,
Moduli spaces for linear differential equations and the Painlevé equations, Ann. Inst. Fourier (Grenoble), vol.59, issue.7, pp.2611-2667, 2009. ,
Quasi-linear algebras and integrability (the Heisenberg picture), SIGMA Symmetry Integrability Geom. Methods Appl, vol.4, issue.015, 2008. ,
Representation theory of three-dimensional Sklyanin algebras, Nuclear Phys. B, vol.860, issue.1, pp.167-185, 2012. ,