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Translation between mathematical terms

(for a representation theorist)

This is compiled by myself based on various (possibly unreliable) sources, please tell me if there is any corrections; additions and suggestions are also very much welcomed.

TODO: add simplified Chinese; implement hiragana annotation system; add usage frequency
Last Update: 11th Mar, 2018

- [EN/JP] When context is clear, speaker/author will use 多様体 to mean a manifold or a variety. Manifold is usually distinguished using an appropriate adjective, e.g. complex manifold = 複素多様体. When clarity is needed, variety is usually called using the full name "algebraic variety" 代数多様体.