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Neretin, Yury A. (2024) On Derkachov–Manashov R-matrices for the principal series of unitary representations. Journal of Mathematical Physics, 65 (5) doi:10.1063/5.0175714

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Reference TypeJournal (article/letter/editorial)
TitleOn Derkachov–Manashov R-matrices for the principal series of unitary representations
JournalJournal of Mathematical Physics
AuthorsNeretin, Yury A.Author
Year2024 (May 1)Volume65
Issue5
PublisherAIP Publishing
DOIdoi:10.1063/5.0175714Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID17381126Long-form Identifiermindat:1:5:17381126:1
GUID0
Full ReferenceNeretin, Yury A. (2024) On Derkachov–Manashov R-matrices for the principal series of unitary representations. Journal of Mathematical Physics, 65 (5) doi:10.1063/5.0175714
Plain TextNeretin, Yury A. (2024) On Derkachov–Manashov R-matrices for the principal series of unitary representations. Journal of Mathematical Physics, 65 (5) doi:10.1063/5.0175714
In(2024, May) Journal of Mathematical Physics Vol. 65 (5) AIP Publishing

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Derkachov, S É, Manashov, A N (2006) Factorization of the transfer matrices for the quantumsell(2) spin chains and Baxter equation. Journal of Physics A: Mathematical and General, 39. 4147-4159 doi:10.1088/0305-4470/39/16/003
Cobb, Donald D., McCliment, Edward R. (1972) Decomposition of the Principal Series of Unitary Irreducible Representations of SU(2, 2) Restricted to the Subgroup SU(1,1)⊗SU(2). Journal of Mathematical Physics, 13. 209-214 doi:10.1063/1.1665955
Valinevich, P. A. (2019) Construction of the Gelfand–Tsetlin Basis for Unitary Principal Series Representations of the Algebra sln(ℂ) Theoretical and Mathematical Physics, 198 (1) 145-155 doi:10.1134/s0040577919010100
Palev, Tchavdar D. (1990) Highest weight irreducible unitary representations of Lie algebras of infinite matrices. I. The algebra gl(∞). Journal of Mathematical Physics, 31. 579-586 doi:10.1063/1.528892
Voisin, J. (1965) On Some Unitary Representations of the Galilei Group I. Irreducible Representations. Journal of Mathematical Physics, 6. 1519-1529 doi:10.1063/1.1704689
Leznov, A. N., Savel'ev, M. V. (1971) Plancherel measure of the principal continuous series of unitary representations of U(p, q). Theoretical and Mathematical Physics, 8. 743-753 doi:10.1007/bf01037995
Anderson, R. L., Rączka, R., Rashid, M. A., Winternitz, P. (1970) Clebsch‐Gordan Coefficients for the Coupling of SL(2, C) Principal‐Series Representations. Journal of Mathematical Physics, 11. 1050-1058 doi:10.1063/1.1665196
Buffenoir, E., Roche, Ph. (2000) Tensor product of principal unitary representations of quantum Lorentz group and Askey–Wilson polynomials. Journal of Mathematical Physics, 41. 7715-7751 doi:10.1063/1.1289828
Šijački, Dj. (1975) The unitary irreducible representations of SL (3,R). Journal of Mathematical Physics, 16. 298pp. doi:10.1063/1.522541
Kubieniec, J. (2005) On the structure of the supplementary series of unitary, irreducible representations of the proper, orthochronous Lorentz group. Journal of Mathematical Physics, 46. 103518pp. doi:10.1063/1.2080455
Derkachov, S É, Manashov, A N (2017) Spin chains and Gustafson’s integrals. Journal of Physics A: Mathematical and Theoretical, 50. 294006pp. doi:10.1088/1751-8121/aa749a
 
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