AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra into another. The chain rules holds. Invertibility of this matrix characterizes automorphisms of 9-e free Lie algebra. A presentation of Aut(k〈x,y〉) and an inversion formula are given
18 pagesInternational audienceThe Hopf algebra of word-quasi-symmetric functions ($\WQSym$), a nonco...
AbstractWe study a class of matrices with noncommutative entries, which were first considered by Yu....
AbstractIn 1939 Keller conjectured that any polynomial mapping ƒ : Cn → Cn with constant nonvanishin...
AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra...
AbstractLet A = K〈x1,x2〉be a free associative algebra of rank 2 over an arbitrary field K. In this n...
WOS: 000209819800009Let L be a finitely generated free color Lie superalgebra. We obtained a criteri...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
AbstractWe consider finitely generated free non-associative algebras, free commutative non-associati...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
In this book the authors develop a theory of free noncommutative functions, in both algebraic and an...
We describe in this article relations between innite dimensional Lie algebras and automorphic forms....
The underlying algebra for a noncommutative geometry is taken to be a matrix algebra, and the set of...
AbstractA new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jac...
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Mani...
18 pagesInternational audienceThe Hopf algebra of word-quasi-symmetric functions ($\WQSym$), a nonco...
AbstractWe study a class of matrices with noncommutative entries, which were first considered by Yu....
AbstractIn 1939 Keller conjectured that any polynomial mapping ƒ : Cn → Cn with constant nonvanishin...
AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra...
AbstractLet A = K〈x1,x2〉be a free associative algebra of rank 2 over an arbitrary field K. In this n...
WOS: 000209819800009Let L be a finitely generated free color Lie superalgebra. We obtained a criteri...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
AbstractWe consider finitely generated free non-associative algebras, free commutative non-associati...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
In this book the authors develop a theory of free noncommutative functions, in both algebraic and an...
We describe in this article relations between innite dimensional Lie algebras and automorphic forms....
The underlying algebra for a noncommutative geometry is taken to be a matrix algebra, and the set of...
AbstractA new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jac...
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Mani...
18 pagesInternational audienceThe Hopf algebra of word-quasi-symmetric functions ($\WQSym$), a nonco...
AbstractWe study a class of matrices with noncommutative entries, which were first considered by Yu....
AbstractIn 1939 Keller conjectured that any polynomial mapping ƒ : Cn → Cn with constant nonvanishin...
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