Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

  • View
  • All
  • 수학부
  • 물리학부
  • 계산과학부
  • Center for Advanced Computation

Seminar View

Seminar
TITLE Modules of the 0-Hecke algebra arising from standard permuted composition tableaux
KIAS AUTHORS Oh, Young-Tak
JOURNAL JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021
ARCHIVE  
ABSTRACT We study the H-n(0)-module S-alpha(sigma) due to Tewari and van Willigenburg, which was constructed using new combinatorial objects called standard permuted composition tableaux and decomposed into cyclic submodules. First, we show that every direct summand appearing in their decomposition is indecomposable and characterize when S-alpha(sigma) is indecomposable. Second, we find characteristic relations among S-alpha(sigma)'s and expand the image of S-alpha(sigma) under the quasi characteristic in terms of quasisymmetric Schur functions. Finally, we show that the canonical submodule of S-alpha(sigma) appears as a homomorphic image of a projective indecomposable module. (C) 2020 Elsevier Inc. All rights reserved.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~