Maurer–Cartan form

Summary

Maurer–Cartan form is a one-form^[1]. It draws 75 Wikipedia views per month (one_form category, ranking #1 of 1).^[2]

Key Facts

• Maurer–Cartan form's instance of is recorded as one-form^[3].
• Maurer–Cartan form's instance of is recorded as Lie algebra-valued differential form^[4].
• Maurer–Cartan form's instance of is recorded as principal bundle connection^[5].
• Ludwig Maurer is named after Maurer–Cartan form^[6].
• Élie Cartan is named after Maurer–Cartan form^[7].
• Maurer–Cartan form's Freebase ID is recorded as /m/03tw_6^[8].
• Maurer–Cartan form's defining formula is recorded as \omega = g^{-1} \mathrm dg^[9].
• Maurer–Cartan form's defining formula is recorded as \mathrm d\omega + \frac12 [\omega\wedge\omega] = 0^[10].
• Maurer–Cartan form's studied by is recorded as category theory^[11].
• Maurer–Cartan form's nLab ID is recorded as Maurer-Cartan form^[12].
• Maurer–Cartan form's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• Maurer–Cartan form's Microsoft Academic ID is recorded as 105740227^[14].
• Maurer–Cartan form's in defining formula is recorded as \omega^[15].
• Maurer–Cartan form's in defining formula is recorded as \mathrm d^[16].

Why It Matters

Maurer–Cartan form draws 75 Wikipedia views per month (one_form category, ranking #1 of 1).^[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.^[17] It is known by 3 alternative names across languages and contexts.^[18]