Lectures on Symmetric Tensor Categories

Abstract

This is an expanded version of the notes by the second author of the lectures on symmetric tensor categories given by the first author at Ohio State University in March 2019 and later at ICRA-2020 in November 2020. We review some aspects of the current state of the theory of symmetric tensor categories and discuss their applications, including ones unavailable in the literature.

34 pages, latex; v2 discusses results of the new paper [CEO], and derives stronger corollaries in the appendix

References in corpus (1)

• New realizations of deformed double current algebras and Deligne categories

Cited by in corpus (4)

• From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5
• Kac-Moody algebras in Deligne's Category
• Classification of Non-Degenerate Symmetric Bilinear and Quadratic Forms in the Verlinde Category ${\mathrm{Ver}}_4^{+}$
• The Steinberg Tensor Product Theorem for General Linear Group Schemes in the Verlinde Category