The Higher Transvectants are Redundant. (arXiv:0801.1533v1 [math.AG])

... all the quadratic syzygies between the u_r. As a consequence, we show that each of the higher transvectants u_r, r>1, is redundant in the sense that it can be completely recovered from u_0 and u_1. This result can be geometrically interpreted in terms of the incomplete Segre imbedding. The calculations rely upon the Cauchy exact sequence of SL_2-representations, and the notion of a 9-j symbol ...

... when r guys have been inspected and the rth guy has been found to have a rank a among the r. Also, let U_0(a,r) denote the expected utility if the rth man is selected, and dating is terminated. Since we fixed an n, U*(a,n) = U_0(a,n) = U(a) Now consider the probability than a man with rank a among the first r actually has rank b among ...

The Ladder Construction of Pruefer Modules. [arXiv:0705.3905v1]

..., with 1). A non-zero module M is said to be a Pruefer module provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length. The aim of this note is construct Pruefer modules starting from a pair of module homomorphisms w,v: U_0 -> U_1, where w is injective and its cokernel is of finite length. read more at math updates on arXiv.org rss2lj