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We consider the problem: whether it is so in certain RE-like algebras depending on spectral parameters. Mainly, we deal with algebras similar to those considered in \\cite{RS} (we call them algebras of RS type). These algebras are defined by means of some current (i.e. depending on parameters) $R$-matrices arising f"},"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":"1712.06154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-17T18:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"351652a28047af126014289cadef4e984ff863fe2e3ab4add046b14c06af003a","abstract_canon_sha256":"d42d345399a0b65c011b58174901d16966de77e1d768e0946589f9992c7774dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:14.015779Z","signature_b64":"kf3AByv3hVnIboieNPFDFCPLvHn2k92xMGHsTu51eAzHZ0FGZBW6nnXBmyhsQfCQjikzAVxthdYOlOxn1SU9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30b8e82f7c213d5587658eddb1f782feafd22d996cc5c337cf7dc036dbbc49db","last_reissued_at":"2026-05-18T00:12:14.015311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:14.015311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Centers in Generalized Reflection Equation algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Dimitri Gurevich, Pavel Saponov","submitted_at":"2017-12-17T18:13:55Z","abstract_excerpt":"In the Reflection Equation (RE) algebra associated with an involutive or Hecke symmetry $R$ the center is generated by elements ${\\rm Tr}_R L^k$ (called the quantum power sums), where $L$ is the generating matrix of this algebra and ${\\rm Tr}_R$ is the $R$-trace associated with $R$. 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