The Hall Algebra Approach to Quantum Groups

Professor Alexander Molev
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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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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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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.


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.