Can you please take a look at something for me? I'm having trouble understanding the notation in the bookDifferential Forms and Connectionsby R.W.R. Darling that a friend lent me. Here is what I don't understand so far; from page 2 section 1.1.2

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The description of for any 2 <= p <= n follows the same lines; is the set of formal sums

(1.7)

of “generators” , where each coefficient is indexed by a multi-index ); elements of are called “p-vectors,” and are subject to the rules ....

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For those of you not familiar with the subject is thewedge product(orexterior product) of the vectors u and v where u and v are vectors in the n-dimensional vector space V. I don’t understand what the functions are, mean or represent. What are they?

Note: The L's are supposed to be 's but for some reason I can't get the Latex to accept greek subscripts. Does anyone know why this is happening? I.e. what am I doing wrong?

Also I thought that a3-vectorwas a regular Cartesian vector, i.e.R= (x, y, z) in R^{3}and4-vectorswere regular vectors/eventsX= (ct, x, y, x) in Minkowski spacetime M^{4}. But this definition defines it differently. Is that the case?

Than you.