{"paper":{"title":"A conformal group approach to the Dirac-K\\\"ahler system on the lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.MP"],"primary_cat":"math-ph","authors_text":"Nelson Faustino","submitted_at":"2016-02-06T13:19:57Z","abstract_excerpt":"Starting from the representation of the $(n-1)+n-$dimensional Lorentz pseudo-sphere on the projective space $\\mathbb{P}\\mathbb{R}^{n,n}$, we propose a method to derive a class of solutions underlying to a Dirac-K\\\"ahler type equation on the lattice. We make use of the Cayley transform $\\varphi({\\bf w})=\\dfrac{1+{\\bf w}}{1-{\\bf w}}$ to show that the resulting group representation arise from the same mathematical framework as the conformal group representation in terms of the {\\it general linear group} $GL\\left(2,\\Gamma(n-1,n-1)\\cup\\{ 0\\}\\right)$. That allows us to describe such class of solutio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02252","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"}