FINITE-DIMENSIONAL REPRESENTATIONS OF QUANTUM GROUP

DOI10.1081/AGB-120003465zbMath1026.17022MaRDI QIDQ4551077

Shilin Yang, Dingguo Wang, Qingzhong Ji

Publication date: 9 March 2003

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

zbMATH Keywords

quantum groupsHopf algebrasimple modulegeneralized Weyl algebrahighest weight vectors

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (9)

Complex quantum groups and their real representations ⋮ Extensions of quantum enveloping algebras ⋮ Weak Hopf algebras corresponding to quantum algebras \(U_q(f(K,H))\) ⋮ A new type restricted quantum group ⋮ Whittaker modules over some generalized Weyl algebras ⋮ On category \(\mathcal O\) over triangular generalized Weyl algebras. ⋮ ON REPRESENTATIONS OF QUANTUM GROUPS U_q(f_m(K,H)) ⋮ Hopf structures on ambiskew polynomial rings. ⋮ Extension of a quantized enveloping algebra by a Hopf algebra

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Compact matrix pseudogroups
• Quantum Weyl algebras and deformations of \(U(G)\)
• Irreducible representations of a class of quantum doubles
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Isomorphism problems and groups of automorphisms for generalized Weyl algebras

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