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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 -1 of each. It is equipped with the tensor product of the defining two-dimensional representations of Q_8 and D_8. This group is also naturally a subgroup of the wreath product group of Q_8 by S_2. We compute the singular locus of the family of commutative spherical symplectic reflection algebras deforming C"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.3015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-09-14T08:29:32Z","cross_cats_sorted":["math.AG","math.RA","math.RT"],"title_canon_sha256":"d53389624c28ef55668eb8862c1faa755747601d178656c753af30ba6401921e","abstract_canon_sha256":"aa88fc2a1ce5a393dded18e7c8acf997b3515eb44ea5e8f14bb5b86eb4e54d33"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:06.483430Z","signature_b64":"No+NeqgARdz76bdXVyGkR9ArXwsDhiYQbKAtAHvP5XRY+xRYHSaP/9Z4JLmRKNZS1zj5fDu02y2JwRWG3pduCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f2bcb4da1b3f4e3f597180549b36b1632f3d16874d9c541fc5d810fcdae388d","last_reissued_at":"2026-05-18T04:13:06.482891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:06.482891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new linear quotient of C^4 admitting a symplectic resolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RA","math.RT"],"primary_cat":"math.SG","authors_text":"Gwyn Bellamy, Travis Schedler","submitted_at":"2011-09-14T08:29:32Z","abstract_excerpt":"We show that the quotient C^4/G admits a symplectic resolution for G = (Q_8 x D_8)/(Z/2) < Sp(4,C). 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