Hilbert-Schmidt inner product for an adjoint representation of the quantum algebra \(\overset{\smile}{U}_Q(\mathfrak{SU}_2)\)

DOI10.1016/S0034-4877(15)30024-0zbMath1359.17025OpenAlexW2172503436MaRDI QIDQ255941

Hossein Fakhri, Mojtaba Nouraddini

Publication date: 9 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)30024-0

zbMATH Keywords

Hopf algebra*-representation\(q\)-oscillator algebraquantum algebra \(\overset{\smile}{U}_Q(\mathfrak{su}_2)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (3)

Right \(SU_q(2)\)- and left \(SU_{q^{-1}}(2)\)-invariances of the \(q\)-Hilbert-Schmidt scalar products for an adjoint representation of the quantum algebra \(\breve{U}_q(su_2)\) ⋮ The quantum group SLq⋆(2) and quantum algebra Uq(sl2⋆) based on a new associative multiplication on 2 × 2 matrices ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

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