Sophie Morier-Genoud
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Symmetries, Integrable Systems and Representations
Editors: Kenji Iohara, Sophie Morier-Genoud, Bertrand Remy

These are the proceedings of two international conferences, that took place in 2011 in Tokyo and Lyon, in honor of Professor Michio Jimbo.
 

     Publications and preprints
 

  • Additive combinatorics, cubic forms on $\bbF_2^n$ and Hurwitz square identities (with V. Ovsienko), preprint, submitted

  • A short survey of Lie antialgebras (with S. Leidwanger), preprint, submitted.

  • Orthogonal designs and a cubic binary function (with V.Ovsienko), IEEE Trans. Information Theory, vol. 59, n3 (2013),1583-1589.

  • Arithmetics of 2-friezes, J. Algebraic. Combin., 36 (2012) no 4, 515-539,

  • Superalgebras associated to Riemann surfaces: Jordan algebras of Krichever-Novikov type, (with S. Leidwanger),Int. Math. Res. Not. IMRN (2012), no. 19, 4449-4474 ,

  • 2-frieze patterns and the cluster structure of the space of polygons, (with V. Ovsienko, S. Tabachnikov), Ann. Inst. Fourier, 62, 3 (2012) 937-987.

  • Universal enveloping algebras of Lie antialgebras, (with S.Leidwanger), Algebr Represent Theor (2012) 15, 1--27,

  • New solutions of the Hurwitz problem on square identities, (with A. Lenzhen, V. Ovsienko), J. of Pure App. Alg., 215 (2011), 2903-2911,

  • A series of algebras generalizing the octonions and Hurwitz-Radon identity, (with V.Ovsienko), Comm. Math. Phys. 306 (2011), no. 1, 83-118,

  • Simple graded commutative algebras, (with V.Ovsienko), J. Algebra 323 (2010), 1649--1664,

  • Graded commutative algebras: examples, classification, open problems, (with V.Ovsienko), Proc. XXVIII Workshop Geometrical Methods in Math. Phys. (2010),

  • Well, Papa, can you multiply triplets?, (with V.Ovsienko), Math. Intelligencer: Volume 31, Issue 4 (2009), Page 1.

  • Representations of asl_2, Int. Math. Res. Not. IMRN (2009), no. 10, 1838--1859,

  • Geometric lifting of the canonical basis and semitoric degenerations of the Richardson varieties,
    Trans. Amer. Math. Soc. 360 (2008), no. 1, 215--235.

  • Realisation of Lusztig cones, (with P.Caldero, R.Marsh), Repres. Theory 8, 458-478, 2004

  • Relèvement géométrique de la base canonique et involution de Schützenberger, C.R. Acad.Sci. Paris. Ser. I337, 371-374, 2003

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         Thesis
     

    Relèvement géométrique de l'involution de Schützenberger et applications.
    (.PDF)     (abstract)