<?xml version="1.0" encoding="UTF-8"?>
<Chapter Label="ExteriorAlgebra:chapter">
<Heading>Exterior Algebra and Koszul Complex</Heading>
<#Include Label="ExteriorAlgebra:intro">
<Section Label="ExteriorAlgebra:Constructors">
<Heading>Exterior Algebra: Constructor</Heading>
<#Include Label="ExteriorPower">
</Section>
<Section Label="ExteriorAlgebra:Attributes">
<Heading>Exterior Algebra: Properties and Attributes</Heading>
<#Include Label="IsExteriorPower">
<#Include Label="ExteriorPowerExponent">
<#Include Label="ExteriorPowerBaseModule">
</Section>
<Section Label="ExteriorAlgebra:ElementProperty">
<Heading>Exterior Algebra: Element Properties</Heading>
<#Include Label="IsExteriorPowerElement">
</Section>
<Section Label="ExteriorAlgebra:ElementOperations">
<Heading>Exterior Algebra: Element Operations</Heading>
<#Include Label="Wedge">
<#Include Label="ExteriorPowerElementDual">
<#Include Label="SingleValueOfExteriorPowerElement">
</Section>
<Section Label="ExteriorAlgebra:CayleyDeterminant">
<Heading>Koszul complex and Cayley determinant</Heading>
<#Include Label="KoszulCocomplex">
<#Include Label="CayleyDeterminant">
<#Include Label="Gcd_UsingCayleyDeterminant">
</Section>
</Chapter>