A Symmetric Chain Decomposition of L(4, n)

نویسنده

  • Douglas B. West
چکیده

aw-d is the set of integer m-tuples (a1 ☺ l **t ",) with o 5 al < .*. < am 5 n , ordered by a < b when ai 5 bi for all i . w-s R. Stanley conjectured that L(m,n) is a symmetric chain order for all (m,n) . We verify this by construction for m = 4 . Research supported in part by NSF grant MCS 77-23738 and Office of Naval Research contract ~00014~76-c-0688. Reproduction in whole or in part is permitted for any purpose of the United States government.

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

Second symmetric powers of chain complexes

We investigate Buchbaum and Eisenbud&#039;s construction of the second symmetric power $s_R(X)$ of a chain complex $X$ of modules over a commutative ring $R$. We state and prove a number of results from the folklore of the subject for which we know of no good direct references. We also provide several explicit computations and examples. We use this construction to prove the following vers...

متن کامل

DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

متن کامل

A Markov chain on the symmetric group and Jack symmetric functions

Hanlon, P., A Markov chain on the symmetric group and Jack symmetric functions, Discrete Mathematics 99 (1992) 123-140. Diaconis and Shahshahani studied a Markov chain Wf(l) whose states are the elements of the symmetric group S,. In W,(l), you move from a permutation n to any permutation of the form a(i, j) with equal probability. In this paper we study a deformation W,(a) of this Markov chain...

متن کامل

Higher symmetric powers of tautological bundles on Hilbert schemes of points on a surface

We study general symmetric powers SL of a tautological bundle L on the Hilbert scheme X [n] of n points over a smooth quasi-projective surface X, associated to a line bundle L on X. Let VL be the Sn-vector bundle on X n defined as the exterior direct sum L · · · L. We prove that the Bridgeland-King-Reid transform Φ(SL) of symmetric powers SL is quasi isomorphic to the last term of a finite decr...

متن کامل

Some results on the symmetric doubly stochastic inverse eigenvalue problem

‎The symmetric doubly stochastic inverse eigenvalue problem (hereafter SDIEP) is to determine the necessary and sufficient conditions for an $n$-tuple $sigma=(1,lambda_{2},lambda_{3},ldots,lambda_{n})in mathbb{R}^{n}$ with $|lambda_{i}|leq 1,~i=1,2,ldots,n$‎, ‎to be the spectrum of an $ntimes n$ symmetric doubly stochastic matrix $A$‎. ‎If there exists an $ntimes n$ symmetric doubly stochastic ...

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:
  • Eur. J. Comb.

دوره 1  شماره 

صفحات  -

تاریخ انتشار 1980