{"paper":{"title":"G(2)-Calogero-Moser Lax operators from reduction","license":"","headline":"","cross_cats":["math.DS","nlin.SI"],"primary_cat":"hep-th","authors_text":"Andreas Fring, Nenad Manojlovic","submitted_at":"2005-10-03T14:59:23Z","abstract_excerpt":"We construct a Lax operator for the $G_2$-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the $A_6$-model to a $B_3$-model with the help of an embedding of the $B_3$-root system into the $A_6$-root system together with the specification of certain coupling constants. The $G_2$-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the $G_2$-system into the $B_3$-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0510012","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"}