## Functional analysis 8 |

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### Contents

Generic Discrete Series Representations of SO2n F | 11 |

Mapping Class Group Representations and Conformal Field Theory | 27 |

Semisimplicity of the Algebra BX | 72 |

2 other sections not shown

### Common terms and phrases

admissible representation affine Lie algebras automorphic BA(X C*-algebra classical p-adic groups common irreducible subquotient commutative compact complex conjecture construction Corollary corresponding cuspidal representation defined definition denote dimensional weight spaces discrete series element exists finite dimensional weight fixed vectors follows formula GL(n Hilbert C*-module implies induced representation infinitesimal character irreducible representation isomorphic Jacquet module Jord Jordp Ki-Kr Langlands Lemma Levi subgroup linear groups mapping Math matrix Modular Tensor Category multiplicity nilpotent orbits norm notation obtained operator algebras orthogonal p-adic parametrized partition proof Proposition prove quotient rational parabolic subgroups Recall reduces reductive group resp restriction satisfies sequence special unipotent representations square integrable square integrable representations stable range subquotient subrepresentation supercuspidal representation Suppose Tadic tempered representation tensor product Theorem theory toroidal Lie algebra trivial unipotent unique irreducible subrepresentation unitary dual Vertex operator weakly Weyl group