作者:Roichman, Y
摘要:Let C be a conjugacy class in the symmetric group S-n, and lambda be a partition of n. Let f(lambda) be the degree of the irreducible representation S-lambda, chi(lambda)(C) - the character of S-lambda at C, and r(lambda)(C) - the normalized character chi(lambda)(C)/f(lambda). We prove that there exist constants b>0 and 1>q>0 such that for n>4, for every conjugacy class C in S-n and every irreducible representation S-lambda of S-n \r(lambda)(C)\less than or equal to(max{q,lambda(1)/n,lambda(1)...
作者:Takakura, T
摘要:We construct a family of polarizations of the moduli space of flat SU(n)-connections on a closed 2-manifold of genus g(greater than or equal to 2). These are generalizations of various polarizations known until now. That is, our family of polarizations includes Weitsman's real polarizations in the case of n = 2 [17], as well as the Kahler polarizations which are well known since [2] and [18]. Our construction is based on an original formulation of degeneration of Riemann surfaces. The relation...