72 citations · 367 across the 29 of their papers we have counts for
29 papers
Enriched Morita theory of monoids in a closed symmetric monoidal category
Jaehyeok Lee, Jae-Suk Park
We develop Morita theory of monoids in a closed symmetric monoidal category, in the context of enriched category theory.
Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions
Jaehyeok Lee, Jae-Suk Park
We develop a basic theory of affine group dg-schemes, their Lie algebraic counterparts and linear representations. We prove Tannaka type reconstruction theorems that an affine grou…
Representable presheaves of groups on the homotopy category of cocommutative dg-coalgebras and Tannakian reconstruction
Jaehyeok Lee, Jae-Suk Park
Motivated by rational homotopy theory, we study a representable presheaf of groups on the homotopy category of cocommutative differential graded coalgebras,…
Homotopical Computations in Quantum Fields Theory
Jae-Suk Park
This paper is a mathematical study of quantum correlation functions in quantum field theory within a homotopy algebraic framework motivated from the BV quantization scheme. We char…
Homotopy Theory of Probability Spaces I: Classical independence and homotopy Lie algebras
Jae-Suk Park
This is the first installment of a series of papers whose aim is to lay a foundation for homotopy probability theory by establishing its basic principles and practices. The notion…
Homotopy Probability Theory II
Gabriel C. Drummond-Cole, Jae-Suk Park, John Terilla
This is the second of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. This paper outlines…