Properties of the Dual Cone of Monomial-positive Immanants

نویسندگان

  • ROHIT AGRAWAL
  • VLADIMIR SOTIROV
چکیده

We investigate a cone in the symmetric group algebra introduced by Stembridge [2]. It is dual to the cone of monomial-positive immanants of n × n matrices with indeterminate entries. We present a new set of relations between elements of the dual cone, and use these relations to show that the cone is finitely generated for n = 6, generalizing Stembridge’s result for n = 5.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic behaviour of associated primes of monomial ideals with combinatorial applications

Let  $R$ be a commutative Noetherian ring and $I$ be an ideal of $R$. We say that $I$ satisfies the persistence property if  $mathrm{Ass}_R(R/I^k)subseteq mathrm{Ass}_R(R/I^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{Ass}_R(R/I)$ denotes the set of associated prime ideals of $I$. In this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $R=K[x_1,ld...

متن کامل

Two Interactions Between Combinatorics and Representation Theory :

This thesis consists of two independent parts. The first part concerns Stanley's symmetric function generalization of the chromatic polynomial, the series of immanant conjectures made by Stembridge, and Zaslavsky's theory of signed graphs. The conjectures made by Stembridge that the so-called "monomial" immanants are nonnegative on totally positive matrices and monomial positive on Jacobi-Trudi...

متن کامل

A2-web immanants

Abstract. We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg’s A2-webs. We define consistent labelings of webs, and use them to describe the coefficients of decompositions into irreducible webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices, an...

متن کامل

Rees cones and monomial rings of matroids

Using linear algebra methods we study certain algebraic properties of monomial rings and matroids. Let I be a monomial ideal in a polynomial ring over an arbitrary field. If the Rees cone of I is quasi-ideal, we express the normalization of the Rees algebra of I in terms of an Ehrhart ring. We introduce the basis Rees cone of a matroid (or a polymatroid) and study their facets. Some application...

متن کامل

Computational fluid dynamics simulation of the flow patterns and performance of conventional and dual-cone gas-particle cyclones

One of the main concerns of researchers is the separation of suspended particles in a fluid. Accordingly, the current study numerically investigated the effects of a conical section on the flow pattern of a Stairmand cyclone by simulating single-cone and dual-cone cyclones. A turbulence model was used to analyze incompressible gas-particle flow in the cyclone models, and the Eulerian–Lagrangian...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011