Cyclic Tableaux and Symmetric Functions

  title={Cyclic Tableaux and Symmetric Functions},
  author={William Y. C. Chen and Ko-Wei Lih and Yeong-Nan Yeh},
We introduce the notion of cyclic tableaux and develop involutions for Waring's formulas expressing the power sum symmetric function pn in terms of the elementary symmetric function en and the homogeneous symmetric function hn. The coefficients appearing in Waring's formulas are shown to be a cyclic analog of the multinomial coefficients, a fact that seems to have been neglected before. Our involutions also spell out the duality between these two forms of Waring's formulas, which turns out to… CONTINUE READING