In this paper we use the dominant dimension with respect to a tilting module study double centraliser property. We prove that if A A is...

The dual immaculate functions are a basis of the ring QSym of quasisymmetric functions, and form one of the most natural analogues of the Schur functions. The dual immaculate function corresponding to a composition is a weighted generating function for immaculate tableaux in the same way as a Schur function is for semistandard Young tableaux; an “immaculate tableau” is defined similarly to a se...

We classify all multiplicity-free products of Schur functions and all multiplicity-free products of characters of SL(n; C). 0. Introduction In this paper, we classify the products of Schur functions that are multiplicity-free; i.e., products for which every coeecient in the resulting Schur function expansion is 0 or 1. We also solve the slightly more general classiication problem for Schur func...

we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a  direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...

We prove that Schur classes of nef vector bundles are limits have a property analogous to the Hodge-Riemann bilinear relations. give number applications, including (1) new log-concavity statements about characteristic (2) and related polynomials (3) another proof normalized Lorentzian.

We present a free-fermionic presentation of the skew (dual) stable Grothendieck polynomials. A direct proof their determinantal formulas is given from this presentation. also introduce combinatorial method to describe multiplication map and its adjoint over space This calculation requires use noncommutative supersymmetric Schur functions.

Domain decomposition methods used for solving linear systems are strongly related to dynamic substructuring methods commonly used to build a reduced model. In this study we investigate some theoretical relations between the methods. In particular we discuss the conceptual similarities between the Schur Complement solvers and the Craig-Bampton substructuring techniques, both for their primal and...