{"paper":{"title":"Erratum and Addendum to: Invariant Differential Operators and Eigenspace Representations on an Affine Symmetric Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jing-Song Huang","submitted_at":"2017-07-15T08:30:43Z","abstract_excerpt":"The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components:\n  1. Lemma 7.1 and Proposition 7.2 are wrong and discarded;\n  2. A new proof of existence $\\lambda(\\xi)$ in (7.1) without Proposition 7.2;\n  3. Definition of a new bijection in Theorem 5.2 and a proof by a new technique;\n  4. A new proof of Theorem 5.5 based on the new bijection in Theorem 5.2;\n  5. Correction to the list of exceptional simple pairs in Proposition 3.1.\n  The main results of [1] remain true as stated. We also add a final remark on generalization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04707","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}