Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135201/1/blms0422.pd
AbstractThough total positivity appears in various branches of mathematics, it is rather unfamiliar ...
AbstractA function f from the symmetric group Sn into R is called a class function if it is constant...
AbstractSome necessary and some sufficient conditions are found for n real numbers to be eigenvalues...
AbstractWe prove a conjecture on characters of Sn which implies another conjecture (both due to Goul...
AbstractLet χ be a character on the symmetric group Sn, and let A = (aij) be an n-by-n matrix. The f...
AbstractWe characterize the linear transformations on matrices that preserve the immanants, i.e., dχ...
AbstractLet A be a real n × n matrix. A is TP (totally positive) if all the minors of A are nonnegat...
AbstractThere are many known inequalities involving the restriction of immanants and other generaliz...
AbstractThe arbitrary immanants of three matrices whose determinants are known to be generating func...
An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of ever...
AbstractUsing the Kazhdan–Lusztig basis {Cw′(1)|w∈Sn} for the symmetric group algebra, we obtain non...
AbstractA real matrix is totally positive if all its minors are nonnegative. In this paper, we chara...
AbstractWe describe how character values of certain Hecke algebras can be used to give linear combin...
summary:A close relationship between the class of totally positive matrices and anti-Monge matrices ...
AbstractThis paper is devoted to the generalization of the theory of total positivity. We say that a...
AbstractThough total positivity appears in various branches of mathematics, it is rather unfamiliar ...
AbstractA function f from the symmetric group Sn into R is called a class function if it is constant...
AbstractSome necessary and some sufficient conditions are found for n real numbers to be eigenvalues...
AbstractWe prove a conjecture on characters of Sn which implies another conjecture (both due to Goul...
AbstractLet χ be a character on the symmetric group Sn, and let A = (aij) be an n-by-n matrix. The f...
AbstractWe characterize the linear transformations on matrices that preserve the immanants, i.e., dχ...
AbstractLet A be a real n × n matrix. A is TP (totally positive) if all the minors of A are nonnegat...
AbstractThere are many known inequalities involving the restriction of immanants and other generaliz...
AbstractThe arbitrary immanants of three matrices whose determinants are known to be generating func...
An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of ever...
AbstractUsing the Kazhdan–Lusztig basis {Cw′(1)|w∈Sn} for the symmetric group algebra, we obtain non...
AbstractA real matrix is totally positive if all its minors are nonnegative. In this paper, we chara...
AbstractWe describe how character values of certain Hecke algebras can be used to give linear combin...
summary:A close relationship between the class of totally positive matrices and anti-Monge matrices ...
AbstractThis paper is devoted to the generalization of the theory of total positivity. We say that a...
AbstractThough total positivity appears in various branches of mathematics, it is rather unfamiliar ...
AbstractA function f from the symmetric group Sn into R is called a class function if it is constant...
AbstractSome necessary and some sufficient conditions are found for n real numbers to be eigenvalues...