Local finiteness of the adjoint action for quantized enveloping algebras

From MaRDI portal
Publication:1204458

DOI10.1016/0021-8693(92)90157-HzbMath0779.17012MaRDI QIDQ1204458

Gail Letzter, Anthony Joseph

Publication date: 10 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)




Related Items

A Beilinson-Bernstein theorem for analytic quantum groups. IRosso's form and quantized Kac-Moody algebrasRigidité des plongements des quotients primitifs minimaux de Ug(sl(2)) dans l’algebre quantique de Weyl-HayashiUnrestricted quantum moduli algebras. I: The case of punctured spheresQuantum zonal spherical functions and Macdonald polynomialsLocalization of quantum biequivariantƊ-modules and q–W algebrasEquivariant quantizations of symmetric algebrasOverrings of primitive factors of quantum \(\mathfrak{sl}(2)\)Tensor Products and Whittaker Vectors for Quantum GroupsProjective functors for quantized enveloping algebrasLinks between cofinite prime ideals in quantum function algebrasRepresentations of quantum groups at roots of unity, Whittaker vectors and \(q\)-\(W\) algebrasRepresentations of quantum groups defined over commutative ringsOn the construction of quantum homogeneous spaces from \(^{\ast}\)-Galois objectsVerma module annihilators for quantized enveloping algebrasExplicit generators of the centre of the quantum groupUnnamed ItemThe Harish-Chandra isomorphism for quantum \(\mathrm{GL}_2\)Quantized multiplicative quiver varieties.Quantum symmetric Kac-Moody pairsSingular localization for quantum groups at generic \(q\)The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic settingEndomorphisms of quantized Weyl algebras.On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) evenOn Cacti and CrystalsQuantum flag manifolds as quotients of degenerate quantized universal enveloping algebrasThe quantum analog of a symmetric pair: a construction in type (𝐶_{𝑛},𝐴₁×𝐶_{𝑛-1})Adjoint action for quantum algebra \(U_{r,t}\)On the semi-invariants of a parabolic subalgebra of a quantized enveloping algebraQuantum flag varieties, equivariant quantum \(\mathcal D\)-modules, and localization of quantum groupsHopf AlgebrasLocalization for quantum groups at a root of unityQuantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decompositionThe center of a quantized enveloping algebra at an even root of unityPRESENTATION OF QUANTUM GENERALIZED SCHUR ALGEBRASQuantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matricesOn a parabolic algebra \(P\) of \(\check U_q(sl_{n+1})\) and its semi-invariants with respect to the adjoint action of \(P\)Symmetric pairs for quantized enveloping algebrasThe Harish-Chandra homomorphism for a quantized classical Hermitian symmetric pairReflection equation algebras, coideal subalgebras, and their centresCartan subalgebras for quantum symmetric pair coidealsThe center of the reflection equation algebra via quantum minorsQuantization of the Dixmier localization of \(U(sl_{n+1}(\mathbb C))\)Primitive ideals of \({\mathbf C}_ q[SL(3)\)] ⋮ On harmonic elements for semi-simple Lie algebrasEXAMPLES OF FCR-ALGEBRAS



Cites Work