How is look group $$ GL(1,\mathbb{C}) = \mathbb{C}^* $$ It takes value in the form $ a + bi $, where $ a,b \neq 0 $ ?
2026-03-26 20:43:31.1774557811
Complex Lie group $\mathbb{C}^* $
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No. The notation $\mathbb{C}^*$ means the set of non-zero complex numbers. In other words, it's the set of complex numbers with a multiplicative inverse.