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Motivated by the investigation of the geometric properties of the varieties E(r, g) of r-dimensional elementary subalgebras of a restricted Lie algebra g, we will show in this article the irreducible components of E(rkp(g)-1,g) when rkp(g) is the maximal dimension of an elementary subalgebra of g."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.00446","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-03T08:49:29Z","cross_cats_sorted":[],"title_canon_sha256":"b5f5d28d6ae1654be7b0fa48e8622b80f684869899566324f4d83725a75a33c1","abstract_canon_sha256":"1f7bac55698d5266f7533c9ef3e5cc08ef2936bfca3b4c25adde80628b477095"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:03.359505Z","signature_b64":"K2zlWr0dJtV0WGmWnIb+Mc/UGG5iB9mJufq3FUD1YFJopu8CrNZHFRfWzVxZz3dxHWAFMKLBgvE7m971qU+uAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"747d477020ca668ef8f99b83c6b740ec47dad0fa0e7beccec5e60f1f85182efb","last_reissued_at":"2026-05-18T00:41:03.358689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:03.358689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Varieties of elementary subalgebras of submaximal rank in type A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yang Pan","submitted_at":"2017-07-03T08:49:29Z","abstract_excerpt":"Let G be a connected simple algebraic group over an algebraically closed field k of characteristic p > 0, and g := Lie(G). 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