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Geometric construction of the global base of the quantum modified algebra of affine GL_N

O. Schiffmann·E. Vasserot
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Abstract

We prove that the global base of the modified quantum algebra of affine GL_N is compatible with the intersection cohomology base of the convolution algebra of the affine flag variety. As a consequence we prove a recent conjecture of Lusztig on the compatibility of the intersection cohomology base with respect to transfer maps.

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O. Schiffmann, E. Vasserot. 1999-03-02. Geometric construction of the global base of the quantum modified algebra of affine GL_N. https://arxiv.org/abs/math/9903018

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