컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0235 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (AL) Algebra (AL) |
| 발표시간(Time) | 20th-D-13:20 -- 13:40 |
| 영문제목 (Title(Eng.)) |
Quasisymmetric Schur $Q$-functions and peak Young quasisymmetric Schur functions |
| 저자(Author(s)) |
Seung-Il Choi1, Sun-Young Nam2, Young-Tak Oh2 Seoul National University1, Sogang University2 |
| 초록본문(Abstract) | Let $\mathrm{QSym}$ be the ring of quasisymmetric functions, and $\mathrm{PQSym}$ be the subring of $\mathrm{QSym}$ generated by Stembridge's peak quasisymmetric functions. In this talk, we deal with two bases for $\mathrm{PQSym}$: Quasisymmetric Schur $Q$-functions, introduced Jing and Li, through the dualization of noncommutative lifts of Schur $Q$-functions, and peak Young quasisymmetric Schur functions, introduced by Searles by imposing the peak condition on the tableau generators of Young quasisymmetric Schur functions. We first describe the coefficients in the expansion of a quasisymmetric Schur $Q$-function in terms of peak Young quasisymmetric Schur functions. And then, we explain a representation-theoretical interpretation of these functions. This is a joint work with Sun-Young Nam and Young-Tak Oh. |
| 분류기호 (MSC number(s)) |
20C08, 05E05, 05E10 |
| 키워드(Keyword(s)) | Quasisymmetric function, peak quasisymmetric function, quasisymmetric Schur function |
| 강연 형태 (Language of Session (Talk)) |
Korean |