A Remark on a Conjecture of Nakajima
نویسنده
چکیده
Nakajima conjectured in [N] that the transition matrix between certain PBW-basis constructed in [LXZ] and the affine canonical basis is upper triangular with the diagonal entries equal to one and the upper diagonal entries in vZ[v]. In this paper, we show that the transition matrix between the PBW-basis in [LXZ] and the canonical basis is upper triangular with the diagonal entries equal to one and the upper diagonal entries in Q[v, v]. As a consequence, we obtain a resolution of the support varieties of affine canonical basis elements.
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