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Russian Mathematical Surveys, 1962, Volume 17, Issue 4, Pages 53–104
DOI: https://doi.org/10.1070/RM1962v017n04ABEH004118
(Mi rm6513)
 

This article is cited in 254 scientific papers (total in 254 papers)

Unitary representations of nilpotent Lie groups

A. A. Kirillov
Received: 17.10.1961
Bibliographic databases:
Document Type: Article
Language: English
Original paper language: Russian
Citation: A. A. Kirillov, “Unitary representations of nilpotent Lie groups”, Russian Math. Surveys, 17:4 (1962), 53–104
Citation in format AMSBIB
\Bibitem{Kir62}
\by A.~A.~Kirillov
\paper Unitary representations of nilpotent Lie groups
\jour Russian Math. Surveys
\yr 1962
\vol 17
\issue 4
\pages 53--104
\mathnet{http://mi.mathnet.ru/eng/rm6513}
\crossref{https://doi.org/10.1070/RM1962v017n04ABEH004118}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=142001}
\zmath{https://zbmath.org/?q=an:0106.25001}
Linking options:
  • https://www.mathnet.ru/eng/rm6513
  • https://doi.org/10.1070/RM1962v017n04ABEH004118
  • https://www.mathnet.ru/eng/rm/v17/i4/p57
  • This publication is cited in the following 254 articles:
    1. Laurent Freidel, Seyed Faroogh Moosavian, Daniele Pranzetti, “On the definition of the spin charge in asymptotically-flat spacetimes”, Class. Quantum Grav., 42:1 (2025), 015011  crossref
    2. Florio M. Ciaglia, Shuhan Jiang, Jürgen Jost, Lorenz Schwachhöfer, “A coadjoint orbit–like construction for Jordan superalgebras”, Journal of Geometry and Physics, 209 (2025), 105404  crossref
    3. Mikhail Ignatev, Mikhail Venchakov, “Characters of the unitriangular group and the Mackey method”, Expositiones Mathematicae, 2025, 125656  crossref
    4. V. M. Buchstaber, “Polynomial Eulerian characteristic of nilmanifolds”, Funct. Anal. Appl., 58:1 (2024), 16–32  mathnet  crossref  crossref  mathscinet  isi
    5. F. M. Ciaglia, F. Di Nocera, J. Jost, L. Schwachhöfer, “Parametric models and information geometry on W*-algebras”, Info. Geo., 7:S1 (2024), 329  crossref
    6. BACHIR BEKKA, YVES GUIVARC'H, “On the spectral theory of groups of automorphisms of S-adic nilmanifolds”, Ergod. Th. Dynam. Sys., 44:3 (2024), 705  crossref
    7. Shi Lin Yu, “The Enhanced Period Map and Equivariant Deformation Quantizations of Nilpotent Orbits”, Acta. Math. Sin.-English Ser., 40:3 (2024), 885  crossref
    8. Nadir MATRINGE, “Symmetric periods for automorphic forms on unipotent groups”, J. Math. Soc. Japan, -1:-1 (2024)  crossref
    9. Gert Heckman, “Becoming a mathematician”, Indagationes Mathematicae, 2024  crossref
    10. Duván Cardona, “L 2-Maximal Functions on Graded Lie Groups”, International Mathematics Research Notices, 2024:14 (2024), 10776  crossref
    11. Julia Budde, Tobias Weich, “Wave Front Sets of Nilpotent Lie Group Representations”, Journal of Functional Analysis, 2024, 110684  crossref
    12. Pranav Pulakkat, “On the charge algebra of causal diamonds in three dimensional gravity”, J. High Energ. Phys., 2024:7 (2024)  crossref
    13. Tyler Grover, Kory Stiffler, Patrick Vecera, “Covariant and manifestly projective invariant formulation of Thomas-Whitehead gravity”, Phys. Rev. D, 110:8 (2024)  crossref
    14. Benjamin Harris, Yoshiki Oshima, “On the asymptotic support of Plancherel measures for homogeneous spaces”, Duke Math. J., 173:14 (2024)  crossref
    15. Souha Maaref, “On a generalization of a result of Howe for unipotent groups Data availability”, Bulletin des Sciences Mathématiques, 2024, 103536  crossref
    16. Samuel J. Brensinger, Patrick Vecera, “Yang-Mills fields, spin, and torsion in dynamical projective gravitation”, Phys. Rev. D, 110:12 (2024)  crossref
    17. Philipp Schmitt, Matthias Schötz, “Real Nullstellensatz for 2-step nilpotent Lie algebras”, Journal of Algebra, 2024  crossref
    18. Florio M. Ciaglia, Jürgen Jost, Lorenz J. Schwachhöfer, “Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction”, SIGMA, 19 (2023), 078, 27 pp.  mathnet  crossref
    19. Abhijit Sen, Bikram Keshari Parida, Shailesh Dhasmana, Zurab K. Silagadze, “Eisenhart lift of Koopman-von Neumann mechanics”, Journal of Geometry and Physics, 185 (2023), 104732  crossref
    20. Carlos A. M. André, Jocelyn Lochon, “Supercharacters of discrete algebra groups”, Forum Mathematicum, 35:1 (2023), 221  crossref
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