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2 changes: 1 addition & 1 deletion Lectures/lecture31.tex
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Expand Up @@ -599,7 +599,7 @@ \subsection{Комплексификация линейных отображен
\begin{definition}
\label{definition::ComplfixBil}
Пусть $\beta\colon V\times V\to \mathbb R$ -- билинейная форма на вещественном векторном пространстве $V$.
Определим билинейную форму $\beta \colon V_\mathbb C\times V_\mathbb C\to \mathbb C$ по следующему правилу
Определим билинейную форму $\beta_\mathbb C \colon V_\mathbb C\times V_\mathbb C\to \mathbb C$ по следующему правилу
\[
\beta_\mathbb C(v_1+iu_1, v_2 + iu_2) = \beta(v_1, v_2) + i\beta(v_1,u_2) - i\beta(u_1, v_2) + \beta(u_1, u_2)
\]
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