Blocks of affine quantum Schur algebras

Qiang Fu

Blocks of affine quantum Schur algebras

Representation Theory 2013-04-23 v1 Quantum Algebra

Authors: Qiang Fu

Abstract

The affine quantum Schur algebra is a certain important infinite dimensional algebra whose representation theory is closely related to that of quantum affine $\frak{gl}_n$ . Finite dimensional irreducible modules for the affine quantum Schur algebra ${\mathcal S}_{\vartriangle}(n,r)_{v}$ were classified in \cite{DDF}, where $v\in{\mathbb C}^*$ is not a root of unity. We will classify blocks of the affine quantum Schur algebra ${\mathcal S}_{\vartriangle}(n,r)_{v}$ in this paper.

Keywords

affine quantum Schur algebras blocks irreducible modules quantum affine gl_n classification

Cite

@article{arxiv.1304.5757,
  title  = {Blocks of affine quantum Schur algebras},
  author = {Qiang Fu},
  journal= {arXiv preprint arXiv:1304.5757},
  year   = {2013}
}

Comments

22 pages

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