Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras
Copyright policy )Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras
Q-analogues of Clifford and Weyl algebras are induced. Using these, the spinor and oscillator representations of quantum enveloping algebras of \(A_{N-1}\), \(B_ N\), \(C_ N\), \(D_ N\) and \(A^{(1)}_{N-1}\) are constructed and the irreducibility and the unitarity of these representations are discussed.
- Nagoya University Japan
oscillator representations, Quantum groups (quantized enveloping algebras) and related deformations, 81S05, 17B37, 17B67, Finite-dimensional groups and algebras motivated by physics and their representations, Clifford algebras, spinors, quantum enveloping algebras, 22E46, q-analogues, spinor representation, Clifford algebra, Weyl algebra, Quantum groups and related algebraic methods applied to problems in quantum theory
oscillator representations, Quantum groups (quantized enveloping algebras) and related deformations, 81S05, 17B37, 17B67, Finite-dimensional groups and algebras motivated by physics and their representations, Clifford algebras, spinors, quantum enveloping algebras, 22E46, q-analogues, spinor representation, Clifford algebra, Weyl algebra, Quantum groups and related algebraic methods applied to problems in quantum theory
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