|
In mathematics, Schubert polynomials are generalizations of Schur polynomials that represent cohomology classes of Schubert cycles in flag varieties. They were introduced by and are named after Hermann Schubert. ==Background== described the history of Schubert polynomials. The Schubert polynomials are polynomials in the variables depending on an element of the infinite symmetric group of all permutations of fixing all but a finite number of elements. They form a basis for the polynomial ring in infinitely many variables. The cohomology of the flag manifold is , where is the ideal generated by homogeneous symmetric functions of positive degree. The Schubert polynomial is the unique homogeneous polynomial of degree representing the Schubert cycle of in the cohomology of the flag manifold for all sufficiently large . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Schubert polynomial」の詳細全文を読む スポンサード リンク
|