ON REPRESENTATIONS OF QUANTUM GROUPS Uq(fm(K,H))

DOI10.1017/S0004972708000701zbMath1228.17016arXivmath/0610895MaRDI QIDQ3540988

Yunge Xu, Xin Tang

Publication date: 25 November 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610895

zbMATH Keywords

quantum groupsspectral theoryWhittaker modelhyperbolic algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Related Items (5)

A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas ⋮ Whittaker modules over some generalized Weyl algebras ⋮ On category \(\mathcal O\) over triangular generalized Weyl algebras. ⋮ Extension of a quantized enveloping algebra by a Hopf algebra ⋮ Torsion simple modules over the quantum spatial ageing algebra

Cites Work

• Unnamed Item
• On modules induced from Whittaker modules
• On Whittaker vectors and representation theory
• Quantum deformation of Whittaker modules and the Toda lattice.
• Quantum Weyl algebras and deformations of \(U(G)\)
• Hopf structures on ambiskew polynomial rings.
• Quantum double of \(\text U_q((\mathfrak{sl}_2)^{\leqslant 0})\)
• Whittaker modules for \(U_q(\mathfrak{sl}_2)\)
• Construct irreducible representations of quantum groups \(U_q (f_m (K))\)
• FINITE-DIMENSIONAL REPRESENTATIONS OF QUANTUM GROUP

This page was built for publication: ON REPRESENTATIONS OF QUANTUM GROUPS U_q(f_m(K,H))