{"paper":{"title":"Tensor product representations for orthosymplectic Lie superalgebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Arun Ram, Chanyoung Lee Shader, Georgia Benkart","submitted_at":"1996-07-05T00:00:00Z","abstract_excerpt":"We derive a general result about commuting actions on certain objects in braided rigid monoidal categories. This enables us to define an action of the Brauer algebra on the tensor space $V^{\\otimes k}$ which commutes with the action of the orthosymplectic Lie superalgebra $\\spo(V)$ and the orthosymplectic Lie color algebra $\\spo(V,\\beta)$. We use the Brauer algebra action to compute maximal vectors in $V^{\\otimes k}$ and to decompose $V^{\\otimes k}$ into a direct sum of submodules $T^\\lambda$. We compute the characters of the modules $T^\\lambda$, give a combinatorial description of these chara"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9607232","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"}