Unicity for representations of reduced stated skein algebras
نویسندگان
چکیده
We prove that both stated skein algebras and their reduced versions at odd roots of unity are almost-Azumaya compute the rank a algebra over its center, extending theorem Frohman, Kania-Bartoszynska Lê to case open punctured surfaces. deduce generic irreducible representations quantum Teichmüller type and, conversely, irreducible.
منابع مشابه
Skein Theory for the D2n Planar Algebras
Abstract We give a combinatorial description of the “D2n planar algebra”, by giving generators and relations. This includes a direct proof that the relations are consistent, as well as a complete description of the associated tensor category and its principal graph. While we use the usual langauge of subfactor planar algebras, the entire argument is ‘skein-theoretic’, and there is no functional...
متن کاملSkein theory for the ADE planar algebras
We give generators and relations for the planar algebras corresponding to the E8 subfactor. We also give an explicit basis, and an algorithm to express an arbitrary diagram as a linear combination of basis diagrams. We summarize the analogous results for the other ADE subfactors, which can be obtained by the same methods. © 2009 Elsevier B.V. All rights reserved.
متن کاملPositive basis for surface skein algebras.
We show that the twisted SL2 skein algebra of a surface has a natural basis (the bracelets basis) that is positive, in the sense that the structure constants for multiplication are positive integers.
متن کاملThe Unicity of Types for Depth-zero Supercuspidal Representations
We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary p-adic group G, showing that each depth-zero supercuspidal representation of G contains a unique conjugacy class of typical representations of maximal compact subgroups of G. As a corollary, we obtain an inertial Langlands correspondence for these representations via the Langlands correspondence of De...
متن کاملA skein-like multiplication algorithm for unipotent Hecke algebras
LetG be a finite group of Lie type (e.g. GLn(Fq)) and U a maximal unipotent subgroup of G. If ψ is a linear character of U , then the unipotent Hecke algebra isHψ = EndCG(Ind G U (ψ)). Unipotent Hecke algebras have a natural basis coming from double cosets of U in G. This paper describes relations for reducing products of basis elements, and gives a detailed description of the implications in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2021
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2020.107570