AbstractThe purpose of this paper is to give a negative answer to Problem 5 and a positive answer (in the case of homogeneous elements) to Problem 4 of the article of J. Dixmier [Bull. Soc. Math. France 96 (1968) 209–242] on the first Weyl algebra
AbstractLet G be a universal Chevalley group over an algebraically closed field and U− be the subalg...
AbstractIn this paper we prove the Dipper–James conjecture that the centre of the Iwahori–Hecke alge...
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1...
AbstractThe purpose of this paper is to give a negative answer to Problem 5 and a positive answer (i...
AbstractLet A1:=K〈x,ddx〉 be the Weyl algebra and I1:=K〈x,ddx,∫〉 be the algebra of polynomial integro...
The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra A1 (over a field of ...
Let A1 = K〈X, Y|[Y, X]=1〉 be the (first) Weyl algebra over a field K of characteristic zero. It is k...
In this note we described the polynomial identities of degree 4 for the certain subspace of the Weyl...
In dieser Arbeit werden Divisionstheoreme für p-adische Weyl-Algebren bewiesen. Es wird gezeigt, das...
A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian al...
The aim of the paper is to describe some ideas, approaches, comments, etc. regarding the Dixmier Con...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One ca...
Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One ca...
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, o...
AbstractLet G be a universal Chevalley group over an algebraically closed field and U− be the subalg...
AbstractIn this paper we prove the Dipper–James conjecture that the centre of the Iwahori–Hecke alge...
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1...
AbstractThe purpose of this paper is to give a negative answer to Problem 5 and a positive answer (i...
AbstractLet A1:=K〈x,ddx〉 be the Weyl algebra and I1:=K〈x,ddx,∫〉 be the algebra of polynomial integro...
The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra A1 (over a field of ...
Let A1 = K〈X, Y|[Y, X]=1〉 be the (first) Weyl algebra over a field K of characteristic zero. It is k...
In this note we described the polynomial identities of degree 4 for the certain subspace of the Weyl...
In dieser Arbeit werden Divisionstheoreme für p-adische Weyl-Algebren bewiesen. Es wird gezeigt, das...
A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian al...
The aim of the paper is to describe some ideas, approaches, comments, etc. regarding the Dixmier Con...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One ca...
Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One ca...
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, o...
AbstractLet G be a universal Chevalley group over an algebraically closed field and U− be the subalg...
AbstractIn this paper we prove the Dipper–James conjecture that the centre of the Iwahori–Hecke alge...
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1...
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