Suppose $V$ is a finite dimensional vector space of dimension n.

What is the kernel of the map

$$\bigwedge^p V \otimes \bigwedge^q V ----> \bigwedge^{p+q} V$$ ?

(here $p+q< n$)

Thanks.. Jyoti

Suppose $V$ is a finite dimensional vector space of dimension n. What is the kernel of the map $$\bigwedge^p V \otimes \bigwedge^q V ----> \bigwedge^{p+q} V$$ ? (here $p+q< n$) Thanks.. Jyoti |
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Representation Theory, chapter 15, you will find the general method to decompose representations of $GL(V)$ into irreducibles. – Ben McKay Aug 16 '11 at 8:25