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ЖУРНАЛЫ // Записки научных семинаров ПОМИ

Зап. научн. сем. ПОМИ, 2015, том 432, страницы 111–127 (Mi znsl6114)

Constructing $\mathrm{SU(2)\times U(1)}$ orbit space for qutrit mixed states
V. Gerdt, A. Khvedelidze, Y. Palii

Литература

1. C. Procesi, G. Schwarz, “The geometry of orbit spaces and gauge symmetry breaking in supersymmetric gauge theories”, Phys. Lett. B, 161 (1985), 117–121  crossref  mathscinet  adsnasa  isi
2. C. Procesi, G. Schwarz, “Inequalities defining orbit spaces”, Invent. Math., 81 (1985), 539–554  crossref  mathscinet  zmath  adsnasa  isi
3. V. Gerdt, A. Khvedelidze, Yu. Palii, “Describing the orbit space of the global unitary actions for mixed qudit states”, J. Math. Sci., 200:6 (2014), 682–689  mathnet  crossref  zmath; arXiv: 1311.4649[quant-ph]
4. E. Vinberg, V. Popov, “Theory of invariants”, Itogi Nauki i Techniki, Ser. Sovremennie problemi matematiki. Fundam. napravl., 55, 1989, 137–309 (in Rissian)  mathnet  mathscinet  zmath
5. M. Forger, “Invariant polynomials and Molien functions”, J. Math. Phys., 39:2 (1998), 1107–1141  crossref  mathscinet  zmath  adsnasa  isi
6. C. Procesi, An approach to Lie Theory through Invariants and Representations, Springer, 2007  mathscinet
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8. L. Michel, L. A. Radicati, “The geometry of the octet”, Ann. Inst. Henri Poincare Section A, 18 (1973), 185–214  mathscinet  zmath
9. V. Gerdt, A. Khvedelidze, Yu. Palii, “On the ring of local polynomial invariants for a pair of entangled qubits”, J. Math. Sci., 168:3 (2010), 368–378  mathnet  crossref  mathscinet  zmath  elib; arXiv: 1007.0968[quant-ph]


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