Descent and Forms of Tensor Categories
Author(s)Etingof, Pavel I.; Gelaki, Shlomo
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We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical language, and give examples of explicit classification of forms. We also discuss the problem of categorification of weak fusion rings, and for the simplest families of such rings, determine which ones are categorifiable.
Original manuscript February 5, 2012
DepartmentMassachusetts Institute of Technology. Department of Mathematics
International Mathematics Research Notices
Oxford University Press
Etingof, P., and S. Gelaki. “Descent and Forms of Tensor Categories.” International Mathematics Research Notices (July 10, 2011).