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Discriminants of Brauer algebras

Quantum Algebra 2007-05-23 v3 Representation Theory

Abstract

In this paper, we compute the discriminant of the Gram matrix associated to each cell module of the Brauer algebra \cban\cba{n}. Theoretically, we know when a cell module of \cban\cba{n} is equal to its simple head. This gives a solution of this long standing problem.

Keywords

Cite

@article{arxiv.math/0607267,
  title  = {Discriminants of Brauer algebras},
  author = {Hebing Rui and Mei Si},
  journal= {arXiv preprint arXiv:math/0607267},
  year   = {2007}
}

Comments

Math. Zeitschrift, to appear