Chern characters, reduced ranks and -modules on the flag variety

on translation of phatic communion and socio-cultural relationships between the characters of the novels

phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...

Flag Variety

1.1. QCoh on a stack. We know that QCoh forms a stack, i.e., sheaf of groupoids, over Schfpqc(S) for any scheme S. Thus if we have an fpqc sheaf of groupoids X over S, we can define QCoh(X ) as maps of sheaves X → QCoh on Schfpqc(S). By 2-Yoneda, this definition agrees with the usual notion of quasicoherent sheaves if X is a scheme. For various other (usually equivalent) definitions in the case...

The affine flag variety

Equivariant Cohomological Chern Characters

We construct for an equivariant cohomology theory for proper equivariant CW -complexes an equivariant Chern character, provided that certain conditions about the coefficients are satisfied. These conditions are fulfilled if the coefficients of the equivariant cohomology theory possess a Mackey structure. Such a structure is present in many interesting examples.

Quantum Deformation of the Flag Variety

We want to define a deformation of the flag variety F (r1, . . . , rm, n) of SLn(k) the special linear group of k , where k is an algebraically closed field of characteristic 0. We will construct the quantum flag ring as a subalgebra of kq[SLn(k)], the quantum SLn(k) and we then will exhibit it in terms of generators and relations in the case in which kq is replaced by a suitable local ring in ...