Notes on Affine Canonical and Monomial Bases
نویسنده
چکیده
We investigate the affine canonical basis ([L2]) and the monomial basis constructed in [LXZ] in Lusztig’s geometric setting. We show that the transition matrix between the two bases is upper triangular with 1’s in the diagonal and coefficients in the upper diagonal entries in Z≥0[v, v ]. As a consequence, we show that part of the monomial basis elements give rise to resolutions of support varieties of the affine canonical basis elements as simple perverse sheaves.
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