The Hall Algebra Approach to Quantum Groups

Professor Alexander Molev
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  • Landau Institute for Theoretical Physics

    • Lebedev, S. Gessel and C. Cylindric Partitions. Goodman and H. Littlewood-Richardson coefficients for Hecke algebras at roots of unity Bibliography Hatayama, A. Kuniba, M. Okado, T. Takagi, Z. Paths, crystals and fermionic formulae, MathPhys Odyssey, , Prog. Q analogs of Clifford and Weyl algebras: Spinor and oscillator reprsentations of quantum enveloping algebras - Hayashi, Takahiro Commun. Nonsymmetric Macdonald polynomials and Demazure characters. Duke Math. Infinite-dimensional Lie algebras.

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    Cambridge University Press, second edition. Infinite dimensional Lie algebras, theta functions and modular forms - Kac, Victor G. Global crystal bases of quantum groups. Kirillov and N. Reshetikhin, Bethe ansatz and the combinatorics of Young tableaux. Kirillov, M. A generalization of the Kostka-Foulkes polynomials, J. Algebraic Combin 15 Quantum groups and their representations - Klimyk, A. Berlin, Germany: Springer p.

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    • Algebra | School of Mathematics and Statistics.
    • Quantum structures in algebra and geometry.
    • A Mystical Philosophy: Transcendence and Immanence in the Works of Virginia Woolf and Iris Murdoch.
    • Distributed Algorithms: 5th International Workshop, WDAG 91 Delphi, Greece, October 7–9, 1991 Proceedings.

    Guttmann and X. Vicious walkers, friendly walkers and Young tableaux: II. With a wallJ. A 33 Vicious walkers, friendly walkers, and Young tableaux. Between two walls.

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    Krob and J. Kuniba, K. Misra, M. Takagi, J. Paths, Demazure Crystals and Symmetric Functions.

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    Vol 4 , pp. Frenkel, N. Miwa, Spaces of coinvariants and fusion product II. World Scientific, pp. Duke Mathematical Journal , 2 , Noumi, J. View Metrics.

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    Seances Acad. Ricerca Sci. Le monode plaxique. In Noncommutative structures in algebra and geometric combinatorics Naples, , volume of Quad Singularities, character formulas, and a q-analog of weight multiplicities, Analyse et topologie sur les espaces singuliers II-III , Ast erisque , Canonical bases arising from quantized enveloping algebras - Lusztig, G. Introduction to quantum groups, Progress in Math.

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    Landau Institute for Theoretical Physics

    With notes and addenda, by C. Peirce Son of the Author, Amer. J Math. Affine approach to quantum Schubert calculus. Nekrasov and S. Exner eds. Nelsen and A. Wensley ed London Math. Notes , Cambridge University Press,, Novelli, J. Thibon, L. Combinatorial Hopf algebras, noncommutative HallLittlewood functions, and permutation tableaux.

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    Schechtman, V. Tarasov, A. Cohomology of a flag variety as a Bethe algebra. On a three-fold symmetry in the elements of Heines series, Proc. London Math. In case of symmetric pairs of diagonal type, our work reproduces of [Bridgeland]'s Hall algebra realization of a quantum group, which in turn was a generalization of earlier constructions of Ringel and Lusztig for half a quantum group. Mater of Arts M. Master of Applied Mathematical Sciences M.

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    Date and time:. Title: Hall algebras and quantum symmetric pairs Abstract: As a quantization of symmetric pairs, a quantum symmetric pair consists of a quantum group and its coideal subalgebra called an i-quantum group. Featured Content.