A new linear quotient of C 4 admitting a symplectic resolution
A new linear quotient of C 4 admitting a symplectic resolution
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DOI：
10.1007/s00209-012-1028-6
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发表时间：
2013-04-01
影响因子：
0.8
通讯作者：
Schedler, Travis
中科院分区：
文献类型：
--
作者：
Bellamy, Gwyn;Schedler, Travis
我们证明了商C（4）/G允许对的辛分解。这里Q（8）是八阶的四元数群，D（8）是八阶的二面体群，G是它们的直积的商，它标识每个的非平凡中心元素-Id。它配备了张量积表示。这个群自然也是圈积群的一个子群。本文计算了交换球面辛反射代数族C（4）/G的奇异轨迹。我们还讨论了更一般的问题，分类线性代数V/G承认辛决议的初步调查。
We show that the quotient C (4)/G admits a symplectic resolution for . Here Q (8) is the quaternionic group of order eight and D (8) is the dihedral group of order eight, and G is the quotient of their direct product which identifies the nontrivial central elements -Id of each. It is equipped with the tensor product representation . This group is also naturally a subgroup of the wreath product group . We compute the singular locus of the family of commutative spherical symplectic reflection algebras deforming C (4)/G. We also discuss preliminary investigations on the more general question of classifying linear quotients V/G admitting symplectic resolutions.