R-matrix Poisson algebras and their deformations
Copyright policy )R-matrix Poisson algebras and their deformations
We classify in this paper Poisson structures on modules over semisimple Lie algebras arising from classical r-matrices. We then study their quantizations and the relation to classical invariant theory.
50 pages
- University of California, Riverside United States
Mathematics(all), Poisson algebras, quantum groups, 17B37; 17B63, r-Matrix, Invariant theory, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, 17B63, 17B37, invariant theory, Quantization, Mathematics - Quantum Algebra, FOS: Mathematics, r-matrix, Quantum Algebra (math.QA), quantization, Representation Theory (math.RT), Mathematics - Representation Theory
Mathematics(all), Poisson algebras, quantum groups, 17B37; 17B63, r-Matrix, Invariant theory, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, 17B63, 17B37, invariant theory, Quantization, Mathematics - Quantum Algebra, FOS: Mathematics, r-matrix, Quantum Algebra (math.QA), quantization, Representation Theory (math.RT), Mathematics - Representation Theory
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