3 papers
hep-th2025
Quantization of Lie-Poisson algebra and Lie algebra solutions of mass-deformed type IIB matrix model
Jumpei Gohara, Akifumi Sako
A quantization of Lie-Poisson algebras is studied. Classical solutions of the mass-deformed Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model can be constructed from semisimple…
math.CT2019
Homology Groups and Categorical Diagonalization
Jumpei Gohara, Yuji Hirota, Keisui Ino +1
We discuss the relationship between (co)homology groups and categorical diagonalization. We consider the category of chain complexes in the category of finitely generated free modu…
math-ph2019
Categorical Perspective on Quantization of Poisson Algebra
Jumpei Gohara, Yuji Hirota, Akifumi Sako
We propose a generalization of quantization as a categorical way. For a fixed Poisson algebra quantization categories are defined as subcategories of R-module category with the str…