The Green rings of pointed tensor categories of finite type
Hua-Lin Huang, Fred Van Oystaeyen, Yuping Yang, Yinhuo Zhang
TL;DR
This paper calculates the tensor product decompositions and the Green rings for a specific class of algebraic categories called connected pointed tensor categories of finite type, advancing understanding of their algebraic structure.
Contribution
It provides explicit computations of the Clebsch-Gordan formulas and Green rings for these categories, which were not previously known.
Findings
Explicit Clebsch-Gordan formulas derived
Green rings characterized for the categories
Enhanced understanding of the algebraic structure of these categories
Abstract
In this paper, we compute the Clebsch-Gordan formulae and the Green rings of connected pointed tensor categories of finite type.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Finite Group Theory Research