Koszul complex

Summary

Koszul complex is a mathematical concept^[1]. It draws 59 Wikipedia views per month (mathematical_concept category, ranking #211 of 1,007).^[2]

Key Facts

• Koszul complex's instance of is recorded as mathematical concept^[3].
• Jean-Louis Koszul is named after Koszul complex^[4].
• Koszul complex's subclass of is recorded as differential graded-commutative algebra^[5].
• Koszul complex's Freebase ID is recorded as /m/02kz0y^[6].
• Koszul complex's defining formula is recorded as \begin{aligned}&s\in E^\vee\&0\to\bigwedge^{\dim_RE}E\overset d\to\bigwedge^{\dim_RE-1}E\to\dotsb\to\bigwedge^1E\overset d\to R\to0\&d_k(e_1\wedge\dotsb\wedge e_k)=\sum_{i=1}^k(-1)^{i+1}s(e_i)e_1\wedge\dotsb\wedge\hat e_i\wedge\dotsb\wedge e_k\end{aligned}^[7].
• Koszul complex's nLab ID is recorded as Koszul complex^[8].
• Koszul complex's schematic is recorded as Koszul2.png^[9].
• Koszul complex's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• Koszul complex's Microsoft Academic ID is recorded as 2778246876^[11].
• Koszul complex's in defining formula is recorded as R^[12].
• Koszul complex's in defining formula is recorded as E^[13].
• Koszul complex's in defining formula is recorded as E^\vee^[14].
• Koszul complex's Encyclopedia of Mathematics article ID is recorded as Koszul_complex^[15].

Why It Matters

Koszul complex draws 59 Wikipedia views per month (mathematical_concept category, ranking #211 of 1,007).^[2] It is known by 6 alternative names across languages and contexts.^[16]