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

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

1999-03-02

arxiv.org/abs/math/9903018v1

Mathematics

Quantum Algebra

12 pages, AMS-TeX

Scientific paper

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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