Related papers: Notes on normed algebras, 4
These notes briefly discuss finite-dimensional algebras with involutions, self-adjoint elements, and so on.
These notes deal with finite-dimensional normed algegras, some basic examples, and the definition of the spectrum.
These notes briefly consider convolutions of tempered distributions with functions in the Schwartz class.
In these notes we focus on commutative finite-dimensional normed algebras and some basic examples.
In these notes we briefly consider various situations related to infinite commutative semigroups, connected to convolutions and Fourier transforms.
These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.
These notes concern linear transformations on R^n and C^n, exponentials of linear transformations, and some related geometric questions.
We introduce the notion of maximal orders over quaternion algebras with orthogonal involution and give a classification over local fields, and a partial classification over algebraic number fields.
These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new…
These notes, associated with a topics course, deal with some special cases involving norms and linear transformations.
The note complements topological aspects of the theory of chiral algebras.
These notes deal with a few properties of convolutions in the role of approximations to the identity.
These informal notes deal with a number of questions related to sums and integrals in analysis.
In this paper we describe graded automorphisms and antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary algebraically closed field of charcteristic different from 2.
These notes, connected to a "potpourri" topics course currently underway, are concerned with some interrelated themes of polynomials, functions on the unit circle or interval, and norms.
These are expanded notes of four introductory talks on A-infinity algebras, their modules and their derived categories.
We provide a coherent picture of our efforts thus far in extending real algebra and its links to the theory of quadratic forms over ordered fields in the noncommutative direction, using hermitian forms and "ordered" algebras with…
In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L.…
In these notes we focus a bit on the complex case for some families of matrices and equivalences between them.
Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative…