Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras
R Tang, S Hou, Y Sheng - Journal of Algebra, 2021 - Elsevier
Given a representation of a 3-Lie algebra, we construct a Lie 3-algebra, whose Maurer-
Cartan elements are relative Rota-Baxter operators on the 3-Lie algebra. We define the …
Cartan elements are relative Rota-Baxter operators on the 3-Lie algebra. We define the …
The star product in interacting quantum field theory
We propose a new formula for the star product in deformation quantization of Poisson
structures related in a specific way to a variational problem for a function S, interpreted as …
structures related in a specific way to a variational problem for a function S, interpreted as …
Algebraic field theory operads and linear quantization
S Bruinsma, A Schenkel - Letters in Mathematical Physics, 2019 - Springer
We generalize the operadic approach to algebraic quantum field theory (arXiv: 1709.08657)
to a broader class of field theories whose observables on a spacetime are algebras over any …
to a broader class of field theories whose observables on a spacetime are algebras over any …
[HTML][HTML] Operations on the Hochschild bicomplex of a diagram of algebras
E Hawkins - Advances in Mathematics, 2023 - Elsevier
A diagram of algebras is a functor valued in a category of associative algebras. I construct
an operad acting on the Hochschild bicomplex of a diagram of algebras. Using this operad, I …
an operad acting on the Hochschild bicomplex of a diagram of algebras. Using this operad, I …
[PDF][PDF] Lower-Estimates on the Hochschild (Co) Homological Dimension of Commutative Algebras and Applications to Smooth Affine Schemes and Quasi-Free …
A Kratsios - New Trends in Algebraic Geometry and Its Applications, 2021 - mdpi.com
The Hochschild cohomological dimension of any commutative k-algebra is lower-bounded
by the least-upper bound of the flat-dimension difference and its global dimension. Our …
by the least-upper bound of the flat-dimension difference and its global dimension. Our …
Lower-estimates on the hochschild (Co) homological dimension of commutative algebras and applications to smooth affine schemes and quasi-free algebras
A Kratsios - Mathematics, 2021 - mdpi.com
The Hochschild cohomological dimension of any commutative k-algebra is lower-bounded
by the least-upper bound of the flat-dimension difference and its global dimension. Our …
by the least-upper bound of the flat-dimension difference and its global dimension. Our …