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Author Kahng, Byung-Jay ♦ Davidson, R.
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Quantum Double ♦ Algebra Framework ♦ Compact Quantum Group ♦ Double Object ♦ Quantum Universal R-matrix ♦ Specific Quantum Group ♦ Suitable Multiplicative Unitary Operator ♦ Quantum Heisenberg Group Algebra ♦ Quantum Double Construction ♦ Haar Weight
Abstract Abstract. We carry out the quantum double construction of the specific quantum groups we constructed earlier, namely, the “quantum Heisenberg group algebra ” (A,∆) and its dual (Â, ∆̂). Our approach is by constructing a suitable multiplicative unitary operator, retaining the C∗-algebra framework of locally compact quantum groups. We also discuss the dual of the quantum double and the Haar weights on both of these double objects. Towards the end, a construction of a (quasitriangular) “quantum universal R-matrix ” is given.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article