On Filtered Multiplicative Bases of Some Associative Algebras [PDF]
Algebras and Representation Theory, 2014 We deal with the existing problem of filtered multiplicative bases of finite-dimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by ...
Víctor Bovdi +2 more
exaly +4 more sources
Associative nil-algebras over finite fields [PDF]
International Journal of Algebra and Computation, 2013 The nilpotency degree of a relatively free finitely generated associative algebra with the identity $x^n=0$ is studied over finite fields.Comment: 12 ...
Artem A. Lopatin, Ivan, P. Shestakov
core +4 more sources
Associative conformal algebras with finite faithful representation [PDF]
Advances in Mathematics, 2004 The classification of irreducible subalgebras of the associative conformal algebra Cend N is presented in this paper. The structure theory of associative conformal algebras with finite faithful representation is developed.
P. Kolesnikov
semanticscholar +4 more sources
Locally Finite Associative Algebras and Their Lie Subalgebras
Journal of Physics: Conference Series, 2020 An infinite dimensional associative algebra A over a field F is called locally finite associative algebra if every finite set of elements is contained in a finite dimensional subalgebra of A .
H. Shlaka
semanticscholar +2 more sources
Graded Associative Conformal Algebras of Finite Type [PDF]
Algebras and Representation Theory, 2012 In this paper, we consider graded associative conformal algebras. The class of these objects includes pseudo-algebras over non-cocommutative Hopf algebras of regular functions on some linear algebraic groups. In particular, an associative conformal algebra which is graded by a finite group $Γ$ is a pseudo-algebra over the coordinate Hopf algebra of a ...
P S Kolesnikov
exaly +3 more sources
Finite generation of Lie algebras associated with associative algebras
Journal of Algebra, 2015 12
Adel Alahmadi +2 more
exaly +4 more sources
Efficient Decomposition of Associative Algebras over Finite Fields
Journal of Symbolic Computation, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Eberly, M. Giesbrecht
semanticscholar +2 more sources
Algebra of differential operators associated with Young diagrams [PDF]
, 2010 We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the conjugated classes of finite permutations of the set of ...
A. Mironov +29 more
core +3 more sources
Finite-dimensional non-associative algebras and codimension growth
Advances in Applied Mathematics, 2011 Let A be a (non-necessarily associative) finite-dimensional algebra over a field of characteristic zero. A quantitative estimate of the polynomial identities satisfied by A is achieved through the study of the asymptotics of the sequence of codimensions ...
A. Giambruno, I. Shestakov, M. Zaicev
semanticscholar +4 more sources
Quadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems [PDF]
, 2000 The integrals of motion of the classical two dimensional superintegrable systems with quadratic integrals of motion close in a restrained quadratic Poisson algebra, whose the general form is investigated.
Daskaloyannis, C.
core +2 more sources