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We consider the generalized Poincare series [\\tilde{P}_G(t)]_0 for the case of multiply-laced diagrams(in the context of the McKay-Slodowy correspondence) and extend the Ebeling theorem for this case: [\\tilde{P}_G(t)]_0 = X(t^2)"},"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":"1311.0377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-11-02T13:53:35Z","cross_cats_sorted":[],"title_canon_sha256":"50eeef34503903db8c0b8b5d12997f5c5d8d33eb48b7bd92924abb6a2850c646","abstract_canon_sha256":"8be58d3205d03e9944cd95be2ef19fa7329a5734d85a45bd216c7b1a9e42056a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:06.148899Z","signature_b64":"eZrrNEHaoUpEFHTzKP5ixbadkJ8mQHIph/WjzdaHiHeMw3N1RDBxDXdTuObUEnz0LjIjIfajMQLHf3jSASj6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37b1bb1f6bfb9edf6affc55b058fee778598793b976a3113e01d8b43047f1397","last_reissued_at":"2026-05-18T03:08:06.148191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:06.148191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coxeter Transformations, the McKay correspondence, and the Slodowy correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Rafael Stekolshchik","submitted_at":"2013-11-02T13:53:35Z","abstract_excerpt":"This talk was presented at Workshop \"Spectral Methods in Representation Theory of Algebras and Applications to the Study of Rings of Singularities\", 2008 (Banff, Canada). 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