Large products of double cosets for symmetric subgroups

This project is a pure mathematics research paper rather than a software tool. Its value lies in the intellectual contribution to the classification of Lie group structures, specifically the 'big product' problem for symmetric subgroups. With 0 stars and 1 fork, it has no presence in the software ecosystem. The defensibility score is low because, while the proof itself is difficult to produce (requiring deep domain expertise), the results are now public domain and do not constitute a 'moat' in a commercial or technical sense. Frontier labs (OpenAI, Anthropic) have virtually no interest in the specific topology of double cosets in SU(n), making frontier risk low. The primary 'competitors' are other academic researchers in the fields of representation theory and quantum control. The work is highly specialized; its only potential application would be in the theoretical foundations of quantum gate controllability or ergodic theory. From a competitive intelligence perspective, this is a niche academic artifact with zero current commercial utility but high specialized novelty in the mathematical community.