{"id":"openai-math/The-Blockwise-Alperin-Weight-Conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026","tags":["modular-representation-theory","finite-groups","blocks"],"score":0,"title":"The Blockwise Alperin Weight Conjecture","domain":"Algebra","family":"202","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.RA","summary":"We prove the numerical blockwise Alperin weight conjecture for every finite group and every prime p . For each p -block B , the number of irreducible Brauer characters in B equals the number of conjugacy classes of B -weights.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The blockwise Alperin weight conjecture"}