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Seminar & Colloquium

Seminar & Colloquium 게시글의 상세 화면
제목 [2018/05/24] Dr. Seung-IL Choi (Seoul National Univ.)
작성자 관리자 등록일 2018-05-17 조회수 126

Speaker:  Dr. Seung-IL Choi(Seoul National Univ.)

Date: May 24. Thursday 16:30 - 17:30

Room: AORC Seminar Room (General Studies, 기초학문관 3층)

Title:  Product of two Schur $P$-functions and staircase skew Schur functions

 In this talk we give  new characterizations of  structure constants of 
the expansions of product of two Schur $P$-functions and s taircase skew Schur functions in the Schur $P$ basis.
There were well-known results about these nonnegative integer  constants.
In 1989, Stembridge provided a combinatorial description of the constants in the first expansion,
which is in terms of marked shifted tableaux. We here yield an alternative description of it in terms of shifted tableaux with double alphabets. 
In 2012, Ardila-Serrano and Dewitt gave separately answers to the question raised by Stanley that 
what kinds of skew Schur functions are elements the subring $\Omega$ of the ring of symmetric functions $\Lambda$. 
Schur functions of staircase skew shape or its rotated shape are nonnegative integral sums of Schur $P$-functions. 
By using the theory of $\mathfrak{q}(n)$-crystal basis we gave an alternative description of the constants in the second expansion


Seminar & Colloquium 게시판의 이전글 다음글
이전글 [2018/05/25] AORC Monthly seminar
다음글 [2018/05/25] Prof. Kyu-Hwan Lee (Department of Mathematics, University of Connecticut)