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Found 2,518 Documents (Results 1–100)

Conformally invariant differential operators on Heisenberg groups and minimal representations. (Opérateurs différentiels conformément invariants pour des groupes d’Heisenberg et représentations minimales.) (English. French summary) Zbl 07846646

Mémoires de la Société Mathématique de France. Nouvelle Série 180. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-986-9). vi, 139 p. (2024).
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Construction and analysis of symmetry breaking operators for the pair \((\operatorname{GL}(n+1,\mathbb{R}),\operatorname{GL}(n,\mathbb{R}))\). arXiv:2403.14267

Preprint, arXiv:2403.14267 [math.RT] (2024).
MSC:  22E45
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Theta correspondence and the orbit method. (English) Zbl 1536.22029

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3062-3078 (2023).
MSC:  22E46 22E45 22E47
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Racah coefficients for the group \(\operatorname{SL}(2,\mathbb{R} )\). (English. Russian original) Zbl 1537.22032

J. Math. Sci., New York 275, No. 3, 289-298 (2023); translation from Zap. Nauchn. Semin. POMI 509, 99-112 (2021).
MSC:  22E45 22E70
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Representation theory of \(\mathfrak{sl}(2,\mathbb{R})\simeq \mathfrak{su}(1,1)\) and a generalization of non-commutative harmonic oscillators. arXiv:2310.17118

Preprint, arXiv:2310.17118 [math-ph] (2023).
MSC:  81Q10 34M03 22E45
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Multiplicity in restricting minimal representations. (English) Zbl 07819646

Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 3-20 (2022).
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Upper estimates of the Morse numbers for the matrix elements of real linear irreducible representations of compact connected simple Lie groups. (English. Russian original) Zbl 1521.22010

St. Petersbg. Math. J. 33, No. 6, 971-980 (2022); translation from Algebra Anal. 33, No. 6, 107-120 (2021).
MSC:  22E45
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