{"paper":{"title":"q-Deformed Clifford algebra and level zero fundamental representations of quantum affine algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jae-Hoon Kwon","submitted_at":"2013-04-15T04:09:26Z","abstract_excerpt":"We give a realization of the level zero fundamental weight representation $W(\\varpi_k)$ of the quantum affine algebra $U_q'(\\mf{g})$, when $\\mf{g}$ has a maximal parabolic subalgebra of type $C_n$. We define a semisimple $U'_q({\\mf g})$-module structure on $\\E^{\\otimes 2}$ in terms of q-deformed Clifford generators, where $\\E$ is the exterior algebra generated by a dual natural representation $V$ of $U_q(\\mf{sl}_{n})$. We show that each $W(\\varpi_k)$ appears as an irreducible summand (not necessarily multiplicity free) in $\\E^{\\otimes 2}$. As a byproduct, we obtain a simple description of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3976","kind":"arxiv","version":3},"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"}