Results 211 to 220 of about 596,875 (253)

Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]

open access: yesLett Math Phys
Di Francesco P   +4 more
europepmc   +1 more source

Algebras Over a Field

, 2012
Up to now we have not considered the possibility of multiplying two vectors to obtain another vector, though we have noted that this is possible in certain cases. For example, we can multiply elements of the vector space ℳ n×n (F) over a field F. A vector space V over a field F is an algebra over F if and only if there exists a bilinear transformation (
J. Golan
semanticscholar   +3 more sources

Algebras Over a Field

, 2010
18.1. Let us first recall the notion of an algebra over a field that we introduced in §11.1. By an algebra over a field F, or simply by an F -algebra, we understand an associative ring A which is also a vector space over F such that \((ax)(by)=abxy\) for \(\,a,\,b\in F\) and \(\,x,\,y\in A.\) If A has an identity element, we denote it by \(1_A,\) or ...
G. Shimura
semanticscholar   +3 more sources

Finite Semigroups whose Semigroup Algebra over a Field Has a Trivial Right Annihilator

, 2014
An element a of a semigroup algebra F[S] over a field F is called a right annihilating element of F[S] if xa = 0 for every x ∈ F[S], where 0 denotes the zero of F[S]. The set of all right annihilating elements of F[S] is called the right annihilator of F[
A. Nagy, L. Rónyai
semanticscholar   +1 more source

The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite

, 1990
Introduction. Suppose that A is a semisimple Hopf algebra over a field of characteristic 0, or that A is a semisimple cosemisimple involutory Hopf algebra over a field k of characteristic p > dim A.
D. Radford
semanticscholar   +1 more source

Irreducible Representations of the Lie Algebra \mathrm{sl}(n) Over a Field of Positive Characteristic

, 1987
The irreducible representations of the Lie algebra over an algebraically closed field of characteristic are described. It is proved that an irreducible representation has maximal dimension only if its central character is a nonsingular point of the ...
A. Panov
semanticscholar   +1 more source

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