7
votes
6answers
824 views

Using Exterior Algebras in combinatorics

As addressed in this past question, there are many applications of linear algebra to combinatorics. What about examples of applications of exterior algebras? Part 4 here is one such example. What are ...
4
votes
1answer
229 views

Criterion for being a simple vector

1) I was wondering if there exists a criterion (of (a) combinatorial or (b) geometric nature) for a sum of simple vectors $V\in\wedge^k(\mathbb R^n)$, $V=e_{a_{11}}\wedge\cdots\wedge e_{a_{1k}} + ...