Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$

Andrew Mathas; Daniel Tubbenhauer

doi:10.1112/jlms.12706

Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$

Representation Theory 2023-08-17 v3 Quantum Algebra Rings and Algebras

Authors: Andrew Mathas , Daniel Tubbenhauer

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types $B$ , $A^{(2)}$ , $D^{(2)}$ . Our construction immediately gives homogeneous sandwich cellular bases for the finite dimensional quotients of these algebras. Since weighted KLRW algebras generalize KLR algebras, we also obtain bases and cellularity results for the (infinite and finite dimensional) KLR algebras.

Keywords

weighted klrw algebras klr algebras cellular bases sandwich cellularity types b a(2) d(2)

Cite

@article{arxiv.2201.01998,
  title  = {Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$},
  author = {Andrew Mathas and Daniel Tubbenhauer},
  journal= {arXiv preprint arXiv:2201.01998},
  year   = {2023}
}

Comments

30 pages, lots of figures, revision following referees comments, to appear in J. Lond. Math. Soc., comments welcome

Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$

Abstract

Keywords

Cite

Comments

Related papers