On a class of polynomials connected with the Korteweg-deVries equation, Communications in Mathematical Physics, vol.21, issue.94, pp.1-30, 1978. ,
DOI : 10.1007/BF02728217
Toda theory and W-algebra from a gauged WZNW point of view, Annals of Physics, vol.203, issue.1, pp.76-136, 1990. ,
DOI : 10.1016/0003-4916(90)90029-N
Geometric interpretation of Zhou???s explicit formula for the Witten???Kontsevich tau function, Letters in Mathematical Physics, vol.1, issue.1, 2017. ,
DOI : 10.4310/SDG.1990.v1.n1.a5
Explicit formula for Witten's r-spin partition function ,
Correlation functions of the KdV hierarchy and applications to intersection numbers over <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mover accent="false"><mml:mrow><mml:mi mathvariant="script">M</mml:mi></mml:mrow><mml:mo accent="true">??</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>, Physica D: Nonlinear Phenomena, vol.327, pp.30-57, 2016. ,
DOI : 10.1016/j.physd.2016.04.008
Simple Lie Algebras and Topological ODEs, International Mathematics Research Notices, 2016. ,
DOI : 10.1093/imrn/rnw285
URL : http://arxiv.org/abs/1508.03750
Simple Lie algebras, Drinfeld?Sokolov hierarchies , and multi-point correlation functions, 2016. ,
Block Toeplitz Determinants, Constrained KP and Gelfand-Dickey Hierarchies, Mathematical Physics, Analysis and Geometry, vol.274, issue.2, pp.11-51, 2008. ,
DOI : 10.1090/fic/050/07
URL : http://arxiv.org/pdf/0711.2248
Tau Functions and the Limit of Block Toeplitz Determinants, International Mathematics Research Notices, vol.2015, issue.20, pp.2015-10339, 2015. ,
DOI : 10.1093/imrn/rnu262
URL : https://hal.archives-ouvertes.fr/hal-00989747
Borodin?Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01148689
Sur la structure des groupes de transformations finis et continus Nony, 1894. ,
Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy, Publications of the Research Institute for Mathematical Sciences, vol.18, issue.3, pp.1077-1110, 1982. ,
DOI : 10.2977/prims/1195183297
Vertex operators and $\tau$ functions transformation groups for soliton equations, II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, pp.57-387, 1981. ,
DOI : 10.3792/pjaa.57.387
URL : http://doi.org/10.3792/pjaa.57.387
Lie algebras and equations of Korteweg-de Vries type, Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki (Noveishie Dostizheniya), pp.1975-2036, 1984. ,
DOI : 10.1103/PhysRevB.9.1924
From the Adler?Moser polynomials to the polynomial tau functions of KdV, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01590770
Geometry of 2D topological field theories Integrable Systems and Quantum Groups, pp.120-348, 1993. ,
DOI : 10.1007/bfb0094793
URL : http://arxiv.org/abs/hep-th/9407018
Gromov???Witten invariants and integrable hierarchies of topological type, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar, 2012. ,
DOI : 10.1090/trans2/234/08
URL : http://arxiv.org/abs/1312.0799
Frobenius manifolds and central invariants for the Drinfeld???Sokolov bihamiltonian structures, Advances in Mathematics, vol.219, issue.3, pp.780-837, 2008. ,
DOI : 10.1016/j.aim.2008.06.009
URL : http://doi.org/10.1016/j.aim.2008.06.009
Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov?Witten invariants Preprint arXiv: math/0108160 Schur function expansions of KP ? -functions associated to algebraic curves, p.767, 2001. ,
The Theory of Matrices, vols. I and II, Providence R.I, 2000. ,
COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS, International Journal of Modern Physics A, vol.07, issue.23, pp.5661-5705, 1992. ,
DOI : 10.1142/S0217751X92002581
URL : https://hal.archives-ouvertes.fr/hal-00162862
The Direct Method in Soliton Theory. Cambridge tracts in mathematics, 2004. ,
Tau-functions and generalized intergrable hierarchies, Communications in Mathematical Physics, vol.143, issue.1, pp.99-117, 1993. ,
DOI : 10.1016/0370-2693(92)90520-E
Additional symmetries of generalized integrable hierarchies, Journal of Physics A: Mathematical and General, vol.27, issue.13, pp.27-4629, 1994. ,
DOI : 10.1088/0305-4470/27/13/036
Infinite-dimensional algebras, Dedekind's ??-function, classical m??bius function and the very strange formula, Advances in Mathematics, vol.30, issue.2, pp.85-136, 1978. ,
DOI : 10.1016/0001-8708(78)90033-6
URL : http://doi.org/10.1016/0001-8708(78)90033-6
Infinite-dimensional Lie algebras, 1994. ,
Exceptional hierarchies of soliton equations, Proceedings of symposia in pure mathematics, p.191, 1989. ,
DOI : 10.1090/pspum/049.1/1013133
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group, American Journal of Mathematics, pp.973-1032, 1959. ,
Symmetric functions and Hall polynomials, 1995. ,
A RELATIONSHIP BETWEEN RATIONAL AND MULTI-SOLITON SOLUTIONS OF THE BKP HIERARCHY, Glasgow Mathematical Journal, vol.47, issue.A, pp.47-149, 2005. ,
DOI : 10.1017/S0017089505002363
Soliton Equations as Dynamical Systems on a Infinite Dimensional Grassmann Manifolds (Random Systems and Dynamical Systems), RIMS Kokyuroku, vol.439, pp.30-46, 1981. ,
DOI : 10.1016/s0304-0208(08)72096-6
Loop groups and equations of KdV type, Publications math??matiques de l'IH??S, vol.36, issue.2, pp.5-65, 1985. ,
DOI : 10.1070/RM1981v036n02ABEH002596
URL : http://www.numdam.org/article/PMIHES_1985__61__5_0.pdf
On the expansion coefficients of Tau-function of the BKP hierarchy, Journal of Physics A: Mathematical and Theoretical, vol.49, issue.29, pp.49-295201, 2016. ,
DOI : 10.1088/1751-8113/49/29/295201
Collisions of Calogero-Moser particles and an adelic Grassmannian, Inventiones Mathematicae, vol.133, issue.1, pp.1-41, 1998. ,
DOI : 10.1007/s002220050237
Tau functions and Virasoro symmetries for Drinfeld???Sokolov hierarchies, Advances in Mathematics, vol.306, 2012. ,
DOI : 10.1016/j.aim.2016.10.028
URL : http://arxiv.org/abs/1203.5750
Polynomial solutions of the BKP hierarchy and projective representations of symmetric groups. Infinite-Dimensional Lie Algebras and Groups (Luminy-Marseille, Adv. Ser. Math. Phys, vol.7, pp.449-464, 1988. ,
Explicit formula for Witten-Kontsevich tau-function, 2013. ,
Fermionic Computations for Integrable Hierarchies, 2015. ,