𝘵-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras

IR (HANDLE)
  • Kashiwara, Masaki
    Kyoto University Institute for Advanced Study; Research Institute for Mathematical Sciences, Kyoto University; Korea Institute for Advanced Study
  • Oh, Se-jin

Search this article

Description

As every simple module of a quiver Hecke algebra appears as the image of the R-matrix defined on the convolution product of certain cuspidal modules, knowing the ℤ-invariants of the R-matrices between cuspidal modules is quite significant. In this paper, we prove that the (𝘲, 𝘵)-Cartan matrix specialized at 𝘲 = 1 of any finite type, called the 𝘵-quantized Cartan matrix, inform us of the invariants of R-matrices. To prove this, we use combinatorial AR-quivers associated with Dynkin quivers and their properties as crucial ingredients.

Journal

Related Projects

See more

Keywords

Details 詳細情報について

  • CRID
    1050585636902505984
  • HANDLE
    2433/293799
  • ISSN
    00018708
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB

Report a problem

Back to top