Mapping Class Group Representations and Generalized Verlinde Formula

P. Bantay; P. Vecsernyes

doi:10.1142/S0217751X99000683

Mapping Class Group Representations and Generalized Verlinde Formula

高能物理 - 理论 2009-10-28 v2

作者: P. Bantay , P. Vecsernyes

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摘要

Unitary representations of centrally extended mapping class groups $\tilde M_{g,1}, g\geq 1$ are given in terms of a rational Hopf algebra $H$ , and a related generalization of the Verlinde formula is presented. Formulae expressing the traces of mapping class group elements in terms of the fusion rules, quantum dimensions and statistics phases are proposed.

关键词

hopf algebras positive maps in quantum information lie algebras and representations

引用

@article{arxiv.hep-th/9506186,
  title  = {Mapping Class Group Representations and Generalized Verlinde Formula},
  author = {P. Bantay and P. Vecsernyes},
  journal= {arXiv preprint arXiv:hep-th/9506186},
  year   = {2009}
}

备注

10 pages, PlainTex, 1 figure appended

Mapping Class Group Representations and Generalized Verlinde Formula

摘要

关键词

引用

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