Type C Webs

2021/03/27 by Elijah Bodish, Ben Elias, Bodish, Elijah +5 · 1 citation
Computer Science · Social Sciences · #FOS: Mathematics #Multimedia Communication and Technology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Web Applications and Data Management

paper · pdf · doi:10.48550/arxiv.2103.14997

openalex publication_date 2021/03/27 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We define a ℂ(q)-linear pivotal category Web(\mathfraksp_2n) and prove that it is equivalent to the full subcategory of finite-dimensional representations of U_q(\mathfraksp_2n) tensor-generated by the fundamental representations. This answers the type C case of the main open problem from Kuperberg's 1996 paper "Spiders for rank 2 Lie algebras" (arXiv:q-alg/9712003).

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• Affine web of type Q

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