The unitary irreducible representations of the quantum Heisenberg algebra

DOI10.1007/BF02099190zbMath0753.17026MaRDI QIDQ1189209

Alexander L. Rosenberg

Publication date: 26 September 1992

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

zbMATH Keywords

unitary irreducible representationsirreducible representationsalgebras of skew differential operatorsleft spectrumquantum Heisenberg algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items

Quantum Heisenberg groups and Sklyanin algebras, The simple modules of certain generalized crossed products, On the deformability of Heisenberg algebras, The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula, Finite-dimensional irreducible modules of the universal Askey-Wilson algebra

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The spectrum of the algebra of skew differential operators and the irreducible representations of the quantum Heisenberg algebra
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• The left spectrum, the Levitzki radical, and noncommutative schemes.