Harish-Chandra isomorphisms for quantum algebras

DOI10.1007/BF02104501zbMath0701.17007OpenAlexW2040616269MaRDI QIDQ913931

Toshiyuki Tanisaki

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104501

zbMATH Keywords

centerenveloping algebraquantum algebrasKac-Moody Lie algebraHopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices, Chevalley restriction theorem for vector-valued functions on quantum groups, An integral form of the quantized enveloping algebra of \(sl_2\) and its completions, EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2), On the Harish-Chandra homomorphism for quantum superalgebras, Explicit generators of the centre of the quantum group, Schur-Weyl duality and centers of quantum Schur algebras, Universal R-matrices for quantum groups associated to simple Lie superalgebras, Step algebras of quantum \({\mathfrak{sl}}(n)\), Local finiteness of the adjoint action for quantized enveloping algebras

Cites Work

• Infinite dimensional Lie algebras. An introduction
• A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item