{"paper":{"title":"Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Yu. Orlov, K. Takasaki, T. Shiota","submitted_at":"2012-01-21T22:55:09Z","abstract_excerpt":"We introduce a useful and rather simple class of BKP tau functions which which we shall call \"easy tau functions\". We consider two versions of BKP hierarchy, one we will call \"small BKP hierarchy\" (sBKP) related to $O(\\infty)$ introduced in Date et al and \"large BKP hierarchy\" (lBKP) related to $O(2\\infty +1)$ introduced in Kac and van de Leur (which is closely related to the large $O(2\\infty)$ DKP hierarchy (lDKP) introduced in Jimbo and Miwa). Actually \"easy tau functions\" of the sBKP hierarchy were already considered in Harnad et al, here we are more interested in the lBKP case and also the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4518","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"}