... that these matricesare inverses of each other. Therefore, each minor of H−is equal to the complementarycofactor of the transpose of E, which implies the equality of determinants in (17) and(18) ... adecomposition λ of number k, and the coefficients of these terms in the sum are exactly(−1)k−m(a1a2. . . am)−1. Then from (6), the elementary symmetric functions are the sums of the products ... {p−k(u)} belong to the Bethe suba l gebra B(n). Therefore,they commute. (See also the Remark after the Proposition 7 in the end of the paper).(b)(C.f. Example 8, Chapter 1.2 of [6]). Fo r m =...