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Relevant bibliographies by topics / Coadjoint orbits

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Academic literature on the topic 'Coadjoint orbits'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Coadjoint orbits"

1

Kurniadi, Edi. "Ruang Fase Tereduksi Grup Lie Aff (1)." Jambura Journal of Mathematics 3, no. 2 (June 24, 2021): 180–86. http://dx.doi.org/10.34312/jjom.v3i2.10653.

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ABSTRAKDalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang dual dari aljabar Lie . Aksi dari grup Lie pada ruang dual menggunakan representasi coadjoint. Hasil yang diperoleh adalah ruang Fase tereduksi tiada lain adalah orbit coadjoint-nya yang buka di ruang dual . Selanjutnya, ditunjukkan pula bahwa grup Lie affine tepat mempunyai dua buah orbit coadjoint buka. Hasil yang diperoleh dalam penelitian ini dapa

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2

GORSKY, A., and A. JOHANSEN. "LIOUVILLE THEORY AND SPECIAL COADJOINT VIRASORO ORBITS." International Journal of Modern Physics A 10, no. 06 (March 10, 1995): 785–99. http://dx.doi.org/10.1142/s0217751x95000371.

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We describe the Hamiltonian reduction of the coadjoint Kac–Moody orbits to the Virasoro coadjoint orbits explicitly in terms of the Lagrangian approach for the Wess–Zumino–Novikov–Witten theory. While a relation of the coadjoint Virasoro orbit Diff S1/ SL (2, R) to the Liouville theory has already been studied, we analyze the role of special coadjoint Virasoro orbits Diff [Formula: see text]corresponding to stabilizers generated by the vector fields with double zeros. The orbits with stabilizers with single zeros do not appear in the model. We find an interpretation of zeros xi of the vector f

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3

LIEDÓ, M. A. "DEFORMATION QUANTIZATION OF COADJOINT ORBITS." International Journal of Modern Physics B 14, no. 22n23 (September 20, 2000): 2397–400. http://dx.doi.org/10.1142/s0217979200001916.

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A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. It is based on the algebraic structure of the orbit. Its relation to geometric quantization and differentiable deformations is explored.

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BOŽIČEVIĆ, MLADEN. "A LIMIT FORMULA FOR EVEN NILPOTENT ORBITS." International Journal of Mathematics 19, no. 02 (February 2008): 223–36. http://dx.doi.org/10.1142/s0129167x08004650.

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Let Gℝ be a real form of a complex, semisimple Lie group G. Assume [Formula: see text] is an even nilpotent coadjoint Gℝ-orbit. We prove a limit formula, expressing the canonical measure on [Formula: see text] as a limit of canonical measures on semisimple coadjoint orbits, where the parameter of orbits varies over the negative chamber defined by the parabolic subalgebra associated with [Formula: see text].

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Arnal, D., M. Cahen, and S. Gutt. "Deformations on coadjoint orbits." Journal of Geometry and Physics 3, no. 3 (January 1986): 327–51. http://dx.doi.org/10.1016/0393-0440(86)90013-6.

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6

Robinson, P. L. "Equivariant prequantization and admissible coadjoint orbits." Mathematical Proceedings of the Cambridge Philosophical Society 114, no. 1 (July 1993): 131–42. http://dx.doi.org/10.1017/s0305004100071462.

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The orbit method has as its primary goal the construction and parametrization of the irreducible unitary representations of a (simply-connected) Lie group in terms of its coadjoint orbits. This goal was achieved with complete success for nilpotent groups by Kirillov[8] and for type I solvable groups by Auslander and Kostant[l] but is known to encounter difficulties when faced with more general groups. Geometric quantization can be viewed as an outgrowth of the orbit method aimed at providing a geometric passage from classical mechanics to quantum mechanics. Whereas the original geometric quant

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7

Božičević, Mladen. "Invariant measures on nilpotent orbits associated with holomorphic discrete series." Representation Theory of the American Mathematical Society 25, no. 24 (August 18, 2021): 732–47. http://dx.doi.org/10.1090/ert/580.

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Let G R G_\mathbb R be a real form of a complex, semisimple Lie group G G . Assume G R G_\mathbb R has holomorphic discrete series. Let W \mathcal W be a nilpotent coadjoint G R G_\mathbb R -orbit contained in the wave front set of a holomorphic discrete series. We prove a limit formula, expressing the canonical measure on W \mathcal W as a limit of canonical measures on semisimple coadjoint orbits, where the parameter of orbits varies over the positive chamber defined by the Borel subalgebra associated with holomorphic discrete series.

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8

Esposito, Chiara, Philipp Schmitt, and Stefan Waldmann. "Comparison and continuity of Wick-type star products on certain coadjoint orbits." Forum Mathematicum 31, no. 5 (September 1, 2019): 1203–23. http://dx.doi.org/10.1515/forum-2018-0302.

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AbstractIn this paper, we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have been constructed by different techniques. We compare the constructions of Alekseev–Lachowska and Karabegov, and we prove that they agree in general. In the case of the 2-sphere, we establish the continuity of the star product, thereby allowing for a completion to a Fréchet algebra.

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Vi�a, A. "Cohomological splitting of coadjoint orbits." Archiv der Mathematik 82, no. 1 (January 1, 2004): 13–15. http://dx.doi.org/10.1007/s00013-003-4819-5.

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Le Bruyn, Lieven. "Noncommutative smoothness and coadjoint orbits." Journal of Algebra 258, no. 1 (December 2002): 60–70. http://dx.doi.org/10.1016/s0021-8693(02)00533-1.

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Dissertations / Theses on the topic "Coadjoint orbits"

1

Mihov, Diko. "Quantization of nilpotent coadjoint orbits." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38410.

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Li, Zongyi. "Coadjoint orbits and induced representations." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/43270.

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Astashkevich, Alexander. "Fedosov's quantization of semisimple coadjoint orbits." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/38396.

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4

Dai, Jialing. "Conjugacy classes, characters and coadjoint orbits of Diff⁺S¹." Diss., The University of Arizona, 2000. http://hdl.handle.net/10150/284342.

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The principal motivation of this dissertation is to understand the unitary irreducible representations and characters of Dif f⁺S¹-the group of all orientation-preserving diffeomorphisms of S¹ by studying conjugacy classes of Dif f⁺S¹ and its coadjoint orbits. For this purpose, we mainly focus on the following two topics. The first is to study the relation between a real Lie group G and its associated complex semigroup S(G), which was initiated by Oshansky. We consider two particular examples: (1) PSU(1.1) and PSL(2, C)⁺ (Chapter 1); (2) D and A (Chapter 2). We have shown that (a) The equival

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André, Carlos Alberto Martins. "Irreducible characters of the unitriangular group and coadjoint orbits." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/110600/.

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The method of coadjoint orbits was introduced by Kirillov to study the unitary irreducible representations of a nilpotent Lie groups. Afterwards Kazhdan adapted this method to determine the irreducible complex characters of a finite unipotent group. We use this method to study the irreducible complex characters of any finite unitriangular group. In chapters 2 and 5 we established an orthogonal decomposition of the regular character of any finite unitriangular group. Chapters 3 and 4 are concerned with coadjoint orbits of any unitriangular group defined over an algebraically closed field. Chapt

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Nevins, Monica 1973. "Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47467.

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Plummer, Michael. "Stratified fibre bundles and symplectic reduction on coadjoint orbits of SU(n)." Thesis, University of Surrey, 2008. http://epubs.surrey.ac.uk/842671/.

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The problem of classifying the reduced phase spaces of the natural torus action on a generic coadjoint orbit of SU(n) is considered. The concept of a stratified fibre bundle is defined. It is proved that the orbit map of an equivariant fibre bundle is a stratified fibre bundle. This result is then used to give an iterative description of the reduced phase spaces of the torus action on a generic coadjoint orbit of SU(n). The theory is illustrated with a detailed examination of the n = 3 case, that of the two torus action on a coadjoint orbit of SU(3).

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Villa, Patrick Björn [Verfasser], Peter [Akademischer Betreuer] Heinzner, and Alan T. [Akademischer Betreuer] Huckleberry. "Kählerian structures of coadjoint orbits of semisimple Lie groups and their orbihedra / Patrick Björn Villa. Gutachter: Peter Heinzner ; Alan T. Huckleberry." Bochum : Ruhr-Universität Bochum, 2015. http://d-nb.info/1079843477/34.

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9

Deltour, Guillaume. "Propriétés symplectiques et hamiltoniennes des orbites coadjointes holomorphes." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2010. http://tel.archives-ouvertes.fr/tel-00552150.

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L'objet de cette thèse est l'étude de la structure symplectique des orbites coadjointes holomorphes, et de leurs projections. Une orbite coadjointe holomorphe O est une orbite coadjointe elliptique d'un groupe de Lie réel semi-simple, connexe, non compact et à centre fini, provenant d'un espace symétrique hermitien G/K, telle que O puisse être naturellement munie d'une structure kählérienne G-invariante. Ces orbites sont une généralisation de l'espace symétrique hermitien G/K. Dans cette thèse, nous prouvons que le symplectomorphisme de McDuff se généralise aux orbites coadjointes holomorphes,

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Zergane, Amel. "Séparation des représentations des groupes de Lie par des ensembles moments." Thesis, Dijon, 2011. http://www.theses.fr/2011DIJOS086/document.

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Si (π, H) est une représentation unitaire irréductible d'un groupe de Lie G, on sait lui associer son application moment Ψπ. La fermeture de l'image de Ψπ s'appelle l'ensemble moment de π. Généralement, cet ensemble est Conv(Oπ), si Oπ est l'orbite coadjointe associée à π. Mais il ne caractérise pas π : deux orbites distinctes peuvent avoir la même enveloppe convexe fermée. On peut contourner cette non séparation en considérant un surgroupe G+ de G et une application non linéaire ø de g* dans (g+)* telle que, pour les orbites générique, ø(O) est une orbite et Conv (ø(O)) caractérise O. Dans ce

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Books on the topic "Coadjoint orbits"

1

André, Carlos Alberto Martins. Irreducible characters of the unitriangular group and coadjoint orbits. [s.l.]: typescript, 1992.

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2

1943-, Seitz Gary M., ed. Unipotent and nilpotent classes in simple algebraic groups and lie algebras. Providence, R.I: American Mathematical Society, 2012.

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Book chapters on the topic "Coadjoint orbits"

1

Marsden, Jerrold E., and Tudor S. Ratiu. "Coadjoint Orbits." In Texts in Applied Mathematics, 443–79. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-0-387-21792-5_14.

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Marsden, Jerrold E., and Tudor S. Ratiu. "Coadjoint Orbits." In Texts in Applied Mathematics, 399–430. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2682-6_14.

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3

Oblak, Blagoje. "Virasoro Coadjoint Orbits." In Springer Theses, 201–40. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61878-4_7.

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4

Kirillov, A. "Geometry of coadjoint orbits." In Graduate Studies in Mathematics, 1–29. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/gsm/064/01.

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Oblak, Blagoje. "Coadjoint Orbits and Geometric Quantization." In Springer Theses, 109–60. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61878-4_5.

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6

Dwivedi, Shubham, Jonathan Herman, Lisa C. Jeffrey, and Theo van den Hurk. "The Symplectic Structure on Coadjoint Orbits." In SpringerBriefs in Mathematics, 27–29. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27227-2_5.

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7

Graham, William, and David A. Vogan. "Geometric Quantization for Nilpotent Coadjoint Orbits." In Progress in Mathematics, 69–137. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4162-1_6.

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8

Adams, M. R., J. Harnad, and J. Hurtubise. "Coadjoint Orbits, Spectral Curves and Darboux Coordinates." In Mathematical Sciences Research Institute Publications, 9–21. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4613-9725-0_2.

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Lozano, Yolanda, Steven Duplij, Malte Henkel, Malte Henkel, Euro Spallucci, Steven Duplij, Malte Henkel, et al. "Supersymmetry Methods, particle dynamics on coadjoint orbits." In Concise Encyclopedia of Supersymmetry, 472–73. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_631.

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10

Astashkevich, Alexander. "On Karabegov’s Quantizations of Semisimple Coadjoint Orbits." In Advances in Geometry, 1–18. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1770-1_1.

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Conference papers on the topic "Coadjoint orbits"

1

GOLDIN, GERALD A. "QUANTIZATION ON COADJOINT ORBITS OF DIFFEOMORPHISM GROUPS: SOME RESEARCH DIRECTIONS." In Proceedings of XI Workshop on Geometric Methods in Physics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814440844_0007.

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Iglesias-Zemmour, Patrick. "Every Symplectic Manifold Is A Coadjoint Orbit." In Frontiers of Fundamental Physics 14. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.224.0141.

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Oh, Phillial. "Field Theory on Coadjoint Orbit and Self-Dual Chern-Simons Solitons." In Proceedings of the APCTP Winter School. WORLD SCIENTIFIC, 1998. http://dx.doi.org/10.1142/9789814447287_0010.

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Reports on the topic "Coadjoint orbits"

1

Bernatska, Julia. Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-146-166.

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