I am reading the paper on crystal bases.
Let $k$ be a field. On page $11$, it is said that $\mathbb{P} = \operatorname{Spec}( k[q] ) \cup \operatorname{Spec}( k[q^{-1}] )$. How to prove this? Thank you very much.
2026-03-29 18:34:25.1774809265
How to prove that $\mathbb{P} = \operatorname{Spec}( k[q] ) \cup \operatorname{Spec}( k[q^{-1}] )$?
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