Complex Weyl symbols of metaplectic operators: an elementary approach. (English) Zbl 1540.22024
Reviewer: Nicolae Cotfas (Bucureşti)
Found 58 Documents (Results 1–58)
New directions in real algebraic geometry. Abstracts from the workshop held March 19–24, 2023. (English) Zbl 1525.00012
Quantum entanglement, symmetric nonnegative quadratic polynomials and moment problems. (English) Zbl 1497.81012
Geometry and optimization in quantum information. Abstracts from the workshop held October 3–9, 2021 (hybrid meeting). (English) Zbl 1506.00069
Direct integration for multi-leg amplitudes: tips, tricks, and when they fail. (English) Zbl 1484.81039
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 107-123 (2021).
A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1511.22016
The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 1490.37082
Reviewer: Ivailo M. Mladenov (Sofia)
Superintegrable geodesic flows on the hyperbolic plane. arXiv:2110.02703
Preprint, arXiv:2110.02703 [math-ph] (2021).
The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. (English) Zbl 1475.22019
Reviewer: Angela Gammella-Mathieu (Metz)
On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems. (English) Zbl 1435.81110
J. Math. Sci., New York 240, No. 5, 617-633 (2019) and Zap. Nauchn. Semin. POMI 468, 177-201 (2018).
Invariant symbolic calculus for compact Lie groups. (English) Zbl 1474.22011
Reviewer: Tin Yau Tam (Reno)
Berezin-Weyl quantization of Heisenberg motion groups. (English) Zbl 1415.22011
Reviewer: Angela Gammella-Mathieu (Metz)
Higgs bundles, branes and Langlands duality. (English) Zbl 1410.14046
Reviewer: Nikita Nikolaev (Genéve)
Symmetry breaking for representations of rank one orthogonal groups. II. (English) Zbl 1421.81003
Lecture Notes in Mathematics 2234. Singapore: Springer (ISBN 978-981-13-2900-5/pbk; 978-981-13-2901-2/ebook). xv, 342 p. (2018).
Reviewer: Salah Mehdi (Metz)
Invariant symbolic calculus for semidirect products. (English) Zbl 1463.81016
Reviewer: Daniel Beltiţă (Bucureşti)
Suprintegrable models on riemannian surfaces of revolution with integrals of any integer degree (II). arXiv:1806.10978
Preprint, arXiv:1806.10978 [math-ph] (2018).
Symplectic decomposition of the massive coadjoint orbits of a semidirect product. (English) Zbl 1488.81029
Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. (English) Zbl 1372.22012
Reviewer: Stefan Berceanu (Bucureşti)
Deformation quantization for actions of Kählerian Lie groups. (English) Zbl 1323.22005
Mem. Am. Math. Soc. 1115, v, 154 p. (2015).
Reviewer: Do Ngoc Diep (Hanoi)
Coherent states and Berezin quantization for non-scalar holomorphic representations. (English) Zbl 1319.22008
Reviewer: Angela Gammella-Mathieu (Metz)
Atiyah’s conjecture revisited. (English) Zbl 1361.51013
Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. (English) Zbl 1296.22007
Reviewer: Stefan Berceanu (Bucureşti)
Berezin quantization and holomorphic representations. (English) Zbl 1272.22007
Reviewer: Angela Gammella-Mathieu (Metz)
Towards quantum cohomology of real varieties. (English) Zbl 1206.14077
Ceyhan, Özgür (ed.) et al., Arithmetic and geometry around quantization. Basel: Birkhäuser (ISBN 978-0-8176-4830-5/hbk; 978-0-8176-4831-2/ebook). Progress in Mathematics 279, 65-99 (2010).
Maslov dequantization and the homotopy method for solving systems of nonlinear algebraic equations. (English) Zbl 1149.14046
Math. Notes 83, No. 2, 201-210 (2008); translation from Mat. Zametki 83, No. 2, 221-231 (2008).
Reviewer: Andrew Bucki (Edmond)
Kirillov’s character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing. (English) Zbl 1168.22011
Reviewer: Benjamin Cahen (Metz)
Howe type duality for metaplectic group acting on symplectic spinor valued forms. arXiv:0805.2904
Preprint, arXiv:0805.2904 [math.RT] (2008).
Secondary dequantization in algebraic and tropical geometry. (English. Russian original) Zbl 1167.14328
Math. Notes 82, No. 6, 860-862 (2007); translation from Mat. Zametki 82, No. 6, 953-954 (2007).
A new approach to spectral gap problems. (English) Zbl 1130.22006
Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 499-504 (2007).
Reviewer: Christian Pierre (Louvain-la-Neuve)
Idempotent and tropical mathematics and problems of mathematical physics (Volume I). arXiv:0710.0377
Preprint, arXiv:0710.0377 [math.RA] (2007).
Idempotent and tropical mathematics and problems of mathematical physics (Volume II). arXiv:0709.4119
Preprint, arXiv:0709.4119 [math.RA] (2007).
Cycle spaces of flag domains. A complex geometric viewpoint. (English) Zbl 1084.22011
Progress in Mathematics 245. Boston, MA: Birkhäuser (ISBN 0-8176-4391-5/hbk; 0-8176-4479-2/ebook). xx, 339 p. (2006).
Reviewer: Vasily A. Chernecky (Odessa)
Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) (English, French) Zbl 1093.53095
Panoramas et Synthèses 20. Paris: Société Mathématique de France (ISBN 2-85629-183-X/pbk). vii, 186 p. (2005).
Reviewer: Benjamin Cahen (Metz)
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction. (Russian, English) Zbl 1102.46049
Zap. Nauchn. Semin. POMI 326, 145-182 (2005); translation in J. Math. Sci., New York 140, No. 3, 426-444 (2007).
Reviewer: Nikolai I. Osetinski (Moskva)
The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction. (English) Zbl 1096.46045
Litvinov, G. L. (ed.) et al., Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3538-6/pbk). Contemporary Mathematics 377, 1-17 (2005).
Group averaging in the \((p,q)\) oscillator representation of \(\text{SL}(2,\mathbb R)\). (English) Zbl 1071.81069
Exact solutions of the Dirac equation and induced representations of the Poincaré group on the lattice. (English) Zbl 1051.81601
Science between space and counterspace. Exploring the significance of negative space. (English) Zbl 0981.51023
London: New Science. 188 p. (1999).
Isotropic tangency. (English) Zbl 0889.53020
Reviewer: S.Noaghi (Vulcan)
On quotients of real algebraic surfaces in \(\mathbb{C} \mathbb{P}^ 3\). (English) Zbl 0854.58037
Reviewer: L.Nicolaescu (Ann Arbor)
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. (English) Zbl 0828.58001
Progress in Mathematics (Boston, Mass.) 122. Basel: Birkhäuser (ISBN 3-7643-3770-2/hbk). 150 p. (1994).
Reviewer: P.Dazord (Villeurbanne)
Integrability in the Hamiltonian Chern-Simons theory. (English) Zbl 0824.58026
St. Petersbg. Math. J. 6, No. 2, 241-253 (1995); translation from Algebra Anal. 6, No. 2, 53-66 (1994).
Integrability in the Hamiltonian Chern-Simons theory. (English) Zbl 0819.58011
Reviewer: D.B.Gauld (Auckland)
Half density quantization of the moduli space of flat connections and Witten’s semiclassical manifold invariants. (English) Zbl 0811.57017
Reviewer: J.Huebschmann (Bonn)
Pure symplectic spinors in the Fock representation. (English) Zbl 0799.22013
Reviewer: G.Roepstorff (Aachen)
Nonstandard signature of spacetime, superstrings and the split composition algebras. (English) Zbl 0692.22005
Reviewer: P.Maślanka
On division of functions, solution of matrix equations, and problems in differential geometry and physics. (English) Zbl 0706.58014
Discrete groups in geometry and analysis, Pap. Hon. G. D. Mostow 60th Birthday, Prog. Math. 67, 107-123 (1987).
Complexification, twistor theory, and harmonic maps from Riemann surfaces. (English) Zbl 0556.53049
Reviewer: S.V.Duzhin
Theory of group representations and applications. Vols. 1, 2. (Teoriya predstavlenij grupp i ee prilozheniya. Tom 1,2). Transl. from the English by A. U. Klimyk and O. M. Gavrilik. (Russian) Zbl 0546.22015
Moskva: Izdatel’stvo ”Mir”. 455 p., 396 p. (1980).
Representations of the Lorentz group and projective geometry. (English) Zbl 0181.28201
Mathematical Centre Tracts. 25. Amsterdam: Mathematisch Centrum. vi, 214 p. (1969).
Reviewer: Gert Roepstorff (Aachen)
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