Admissibility and the C_2 Spider

Wade Bloomquist; Andres Mejia

doi:10.48550/arxiv.1801.00953

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Admissibility and the C_2 Spider

Wade Bloomquist and Andres Mejia

ArXiv.org

Cornell University

01/03/2018

DOI: 10.48550/arxiv.1801.00953

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

A tensor category is multiplicity-free if for any objects we have that is either or dimensional. It is known that is not multiplicty-free. We find a full subcategory of which is multiplicty-free. A description of the dimension of these spaces is given for this subcategory, including when is a root of unity. The methods used arise from the description, given by Kuperberg, of as a spider. The main tool is the recursive definition of clasps given by Kim. In particular, we provide an appropriate notion of admissibility when looking at the ribbon graph invariants with restricted edge labels.

Mathematics - Quantum Algebra

Details

Title: Subtitle: Admissibility and the C_2 Spider
Creators: Wade Bloomquist
Andres Mejia
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.1801.00953
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, NY
Language: English
Date posted: 01/03/2018
Academic Unit: Mathematics
Record Identifier: 9984936491602771

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