AbstractWe construct certain completely prime Dixmier algebras which are overrings of primitive factors of quantum sl(2). As in the classical case, these algebras are parametrized by infinitesimal characters corresponding to the half-integers. We also show that all completely prime Dixmier algebras for quantum sl(2) are essentially isomorphic to the algebras we have constructed
AbstractLet Uq(sl2) be the quantized enveloping algebra associated to the simple Lie algebra sl2. In...
AbstractWe introduce an integral form U of the quantized enveloping algebra of sl2. The algebra U is...
AbstractWe study the finite dimensional modules on the half-quantum group u+q at a root of unity q w...
AbstractWe construct certain completely prime Dixmier algebras which are overrings of primitive fact...
AbstractThis paper is a quantum version of Pranata (J. Algebra 145 (1992) 263). We construct and cla...
Abstract. We study the algebra Uζ obtained via Lusztig’s ‘integral ’ form [Lu 1, 2] of the generic q...
This paper shows that certain primitive factor rings of U(sl(2,C)) embed in the rings of dif-ferenti...
. We study prime and primitive ideals in a unified setting applicable to quantizations (at nonroots ...
AbstractThis paper is a quantum version of Pranata (J. Algebra 145 (1992) 263). We construct and cla...
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra U...
AbstractThis paper shows that certain primitive factor rings of U(sl(2,C)) embed in the rings of dif...
In this paper, we study the primitive ideals of quantum algebras supporting a rational torus action....
Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras ...
AbstractVarious quantum algebras are shown to be catenary, i.e., all saturated chains of prime ideal...
The duality between the quantum algebra Uq(sl(n)) and the Hecke algebra Hm(q2) first pointed out by ...
AbstractLet Uq(sl2) be the quantized enveloping algebra associated to the simple Lie algebra sl2. In...
AbstractWe introduce an integral form U of the quantized enveloping algebra of sl2. The algebra U is...
AbstractWe study the finite dimensional modules on the half-quantum group u+q at a root of unity q w...
AbstractWe construct certain completely prime Dixmier algebras which are overrings of primitive fact...
AbstractThis paper is a quantum version of Pranata (J. Algebra 145 (1992) 263). We construct and cla...
Abstract. We study the algebra Uζ obtained via Lusztig’s ‘integral ’ form [Lu 1, 2] of the generic q...
This paper shows that certain primitive factor rings of U(sl(2,C)) embed in the rings of dif-ferenti...
. We study prime and primitive ideals in a unified setting applicable to quantizations (at nonroots ...
AbstractThis paper is a quantum version of Pranata (J. Algebra 145 (1992) 263). We construct and cla...
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra U...
AbstractThis paper shows that certain primitive factor rings of U(sl(2,C)) embed in the rings of dif...
In this paper, we study the primitive ideals of quantum algebras supporting a rational torus action....
Let λ be a primitive root of unity of order l. We introduce a family of finite-dimensional algebras ...
AbstractVarious quantum algebras are shown to be catenary, i.e., all saturated chains of prime ideal...
The duality between the quantum algebra Uq(sl(n)) and the Hecke algebra Hm(q2) first pointed out by ...
AbstractLet Uq(sl2) be the quantized enveloping algebra associated to the simple Lie algebra sl2. In...
AbstractWe introduce an integral form U of the quantized enveloping algebra of sl2. The algebra U is...
AbstractWe study the finite dimensional modules on the half-quantum group u+q at a root of unity q w...
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