Generalized Dyson Series, Generalized Feynman's Diagrams, the Feynman Integral, and Feynman's Operational Calculus
In particular, in the 1-colored case (C = {∗}), this map is O(0) ≅ O(0) ⊗ I θ X. We call these maps the 0-ary action. In practice, the 0-ary action provides the O-algebra X with units. For example, suppose O is the 1-colored operad ...
The prototypical example of an operad is called the endomorphism operad of an object A with EA(n) = Hom(A⊗n ,A). Here the elements are normally called n-ary operations, and the structure map γ comes from using the outputs ...
Tensor Products of Principal Series Representations: Reduction of Tensor Products of Principal Series: Representations of Complex Semisimple Lie Groups
... of Volterra operators with application to Brownian motion, 2002 Roger Chalkley, Basic global relative invariants for ... 2001 Palle E. T. Jorgensen, Ruelle operators: Functions which are harmonic with respect to a transfer operator, ...
This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry.
The maps from loop suspensions to loop spaces are investigated using group representations in this article.
This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts.
Rings, Modules and Algebras