2010/10/11 by Rozenblyum, N.
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1010.1998
Given a chiral algebra, we study modules over an arbitrary power of a curve. We describe this category in three different ways: in terms of factorization, in terms of certain chiral operations and as modules for a lie algebra in a certain tensor category. In addition, we consider analogous questions for LIe-* algebras and factorization spaces. For factorization spaces, we give a construction of multijets in terms of a certain Weil restriction which lets us characterize counital factorizable algebraic stacks as multijets.