Corpus ID: 54645827

Quiver Schur algebras and q-Fock space

@inproceedings{Stroppel2011QuiverSA,
  title={Quiver Schur algebras and q-Fock space},
  author={Catharina Stroppel and Ben Webster},
  year={2011}
}
  • Catharina Stroppel, Ben Webster
  • Published 2011
  • Mathematics
  • We develop a graded version of the theory of cyclotomic q-Schur algebras, in the spirit of the work of Brundan-Kleshchev on Hecke algebras and of Ariki on q-Schur algebras. As an application, we identify the coefficients of the canonical basis on a higher level Fock space with q-analogues of the decomposition numbers of cyclotomic q-Schur algebras. We present cyclotomic q-Schur algebras as a quotient of a convolution algebra arising in the geometry of quivers; hence we call these quiver Schur… CONTINUE READING

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