Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

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

Seminar View

Seminar
TITLE Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras
KIAS AUTHORS Oh, Young-Tak
JOURNAL ADVANCES IN MATHEMATICS, 2020
ARCHIVE  
ABSTRACT We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level l highest weight modules over an affine Kac-Moody algebra with exactly one highest weight being taken for each equivalence class, in a way not depending on types, ranks and levels. In order to do that, we introduce S-evaluation on the set of dominant maximal weights for each highest modules, and generalize Sagan's action in [17] by considering the datum on each affine Kac-Moody algebra. As consequences, we obtain closed and recursive formulae for cardinality of the number of dominant maximal weights for every highest weight module and observe level-rank duality on the cardinalities. (C) 2020 Elsevier Inc. All rights reserved.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~