Results 21 to 30 of about 1,407 (262)

Central Simple Poisson Algebras

, 2000
22 ...
Su, Yucai, Xu, Xiaoping
openaire   +3 more sources

Bimodule structure of central simple algebras

Journal of Algebra, 2017
For a maximal separable subfield $K$ of a central simple algebra $A$, we provide a semiring isomorphism between $K$-$K$-bimodules $A$ and $H$-$H$ bisets of $G = \Gal(L/F)$, where $F = \operatorname{Z}(A)$, $L$ is the Galois closure of $K/F$, and $H = \Gal(L/K)$. This leads to a combinatorial interpretation of the growth of $\dim_K((KaK)^i)$, for fixed $
Eliyahu Matzri, Louis H. Rowen, David Saltman, Uzi Vishne   +3 more
openaire   +3 more sources

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

Essential dimension of central simple algebras

Acta Mathematica, 2012
Let \(F\) be a base field, and let \(\mathcal F\colon Fields/F\to Sets\) be a functor from the category of field extensions of \(F\) to the category of sets. An element \(\alpha\in\mathcal F(E)\) is said to be defined over a subfield \(K\) of \(E\) if \(\alpha\) is in the image of the morphism \(\mathcal F(K)\to\mathcal F(E)\). The essential dimension \
Baek, S Baek, Sanghoon, Merkurjev, AS Merkurjev, Alexander S.   +1 more
openaire   +4 more sources

Levels and sublevels of composition algebras over p-adic function fields

, 2008
In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields.
Van Geel, Jan, O'Shea, J, Geel, Jan Van, O'Shea, James   +3 more
core   +1 more source

Invariants de Witt des involutions de bas degré en caractéristique 2

Comptes Rendus. Mathématique
A $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$.
Tignol, Jean-Pierre
doaj   +1 more source

POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS

, 2022
We examine actions of finite-dimensional pointed Hopf algebras on central simple division algebras in characteristic 0. (By a Hopf action we mean a Hopf module algebra structure.) In all examples considered, we show that the given Hopf algebra does admit
NEGRON, C., ETINGOF, P.
core   +1 more source

Generators of Central Simple Algebras

Journal of Algebra, 1998
Let \(A\) be a central simple algebra with centre \(K\). Given a subfield \(k\) of \(K\) and \(z_1,\dots,z_m\in A\), the subalgebra \(k(z_1,\dots,z_m)\) of \(A\) is defined by taking the \(k\)-algebra \(B\) generated by \(z_1,\dots,z_m\) and localizing at all elements of \(B\cap K^\times\).
openaire   +2 more sources

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Lie algebras: infinite generalizations and deformations [PDF]

, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core