Found 366 Documents (Results 1–100)
On the Whittaker range of the generalized metaplectic theta lift. (English) Zbl 1537.11057
Reviewer: Ivan Matić (Osijek)
Complex Weyl symbols of metaplectic operators: an elementary approach. (English) Zbl 1540.22024
Reviewer: Nicolae Cotfas (Bucureşti)
Local metaplectic correspondence and applications. (English) Zbl 07755554
Reviewer: Yuval Z. Flicker (Jerusalem)
Toric periods and \(p\)-adic families of modular forms of half-integral weight. (English) Zbl 07753150
Memoirs of the American Mathematical Society 1438. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6550-6/pbk; 978-1-4704-7593-2/ebook). v, 95 p. (2023).
Reviewer: Yuval Z. Flicker (Jerusalem)
A fundamental lemma between the symplectic and the metaplectic group: the non-split case. (English) Zbl 1538.11132
On CM masses over global function fields. (English) Zbl 1525.11067
Reviewer: Ma Luo (Oxford)
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group \(\operatorname{SL}_2(\mathfrak{o})\). (English) Zbl 1522.11036
Reviewer: Brandon Williams (Berkeley)
Random walk on quantum blobs. (English) Zbl 1517.81070
Proofs of Ibukiyama’s conjectures on Siegel modular forms of half-integral weight and of degree 2. (English) Zbl 1510.11108
Reviewer: Jennifer Johnson-Leung (Moscow, ID)
Jacquet-Mao metaplectic fundamental lemma is motivic. (English) Zbl 1501.11059
Reviewer: Wen-Wei Li (Beijing)
Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. (English) Zbl 1485.94017
A splitting into the double cover of SL\((3,\mathbb{R})\). (English) Zbl 1493.11084
Reviewer: Caihua Luo (Göteborg)
Tate \(\gamma \)-factor, Weil index, and the metaplectic \(\widetilde{\gamma} \)-factor. (English) Zbl 1495.11057
Reviewer: Chunhui Wang (Wuhan)
A relative trace formula between the general linear and the metaplectic group. II: Descent. (English) Zbl 1499.11209
A Hecke algebra on the double cover of a Chevalley group over \(\mathbb{Q}_2\). (English) Zbl 1484.11127
Reviewer: Wen-Wei Li (Beijing)
Transfer factors for Jacquet-Mao’s fundamental lemma. (Facteur de transfert pour le lemme fondamental métaplectique de Jacquet-Mao.) (English. French summary) Zbl 1470.11125
The automorphic discrete spectrum of \(\mathrm{Mp}_4\). (English) Zbl 1477.11099
Reviewer: Caihua Luo (Göteborg)
Whittaker supports for representations of reductive groups. (Supports de Whittaker pour les représentations des groupes réductifs.) (English. French summary) Zbl 1539.20024
Generic representations of metaplectic groups and their theta lifts. (English) Zbl 1494.22012
Reviewer: Ramdin Mawia (Kolkata)
Transfer to characteristic zero of the Jacquet-Mao’s metaplectic fundamental lemma. (English) Zbl 1468.11114
Reviewer: Caihua Luo (Göteborg)
Classical theta lifts for higher metaplectic covering groups. (English) Zbl 1478.11066
Reviewer: Wen-Wei Li (Beijing)
Local intertwining relation for metaplectic groups. (English) Zbl 1471.11146
Reviewer: Caihua Luo (Göteborg)
Endoscopic character identities for metaplectic groups. (English) Zbl 1479.22015
Reviewer: Bin Xu (Beijing)
Metaplectic Eisenstein distributions. (English) Zbl 1523.11088
Miller, Stephen D. (ed.) et al., Representation theory, automorphic forms & complex geometry. A tribute to Wilfried Schmid. Selected contributions based on the presentations at the conference, Harvard University, Cambridge, MA, USA, May 20–23, 2013, and a workshop around topics close to Wilfried Schmid, Hainan, China, 2013. Somerville, MA: International Press. 197-278 (2019).
Generalized and degenerate Whittaker quotients and Fourier coefficients. (English) Zbl 1469.20046
Aizenbud, Avraham (ed.) et al., Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 101, 133-154 (2019).
Markov semi-groups associated with the complex unimodular group \(\mathrm{Sl}(2,{\mathbb{C}})\). (English) Zbl 1422.60012
Crystal constructions in number theory. (English) Zbl 1416.05300
Barcelo, Hélène (ed.) et al., Recent trends in algebraic combinatorics. Cham: Springer. Assoc. Women Math. Ser. 16, 333-362 (2019).
Fourier coefficients for theta representations on covers of general linear groups. (English) Zbl 1473.11105
A Godement-Jacquet type integral and the metaplectic Shalika model. (English) Zbl 1423.11098
Reviewer: Ivan Matić (Osijek)
A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution. (English) Zbl 1430.42013
Reviewer: Joseph Lakey (Las Cruces)
On the local coefficients matrix for coverings of \(\mathrm{SL}_2\). (English) Zbl 1475.11096
Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 207-244 (2018).
Schrödinger-type equations and unitary highest weight representations of the metaplectic group. (English) Zbl 1401.22014
Christensen, Jens Gerlach (ed.) et al., Representation theory and harmonic analysis on symmetric spaces. AMS special session on harmonic analysis, in honor of Gestur Ólafsson’s 65th birthday, Atlanta, GA, USA, January 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4070-1/pbk; 978-1-4704-4884-4/ebook). Contemporary Mathematics 714, 157-174 (2018).
Reviewer: Dian K. Palagachev (Bari)
Descent and theta functions for metaplectic groups. (English) Zbl 1443.11082
Reviewer: Ivan Matić (Osijek)
The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case. (English) Zbl 1406.11039
Reviewer: J. G. M. Mars (Utrecht)
The metaplectic tensor product as an instance of Langlands functoriality. (English) Zbl 1425.11108
Bruinier, Jan Hendrik (ed.) et al., L-functions and automorphic forms. LAF, Heidelberg, Germany, February 22–26, 2016. Cham: Springer. Contrib. Math. Comput. Sci. 10, 97-114 (2017).
Theta functions on covers of symplectic groups. (English) Zbl 1425.11107
Reviewer: Kam-Fai Tam (Bonn)
Local coefficient matrices and the metaplectic correspondence. (English) Zbl 1388.22007
Reviewer: Andrzej Dąbrowski (Szczecin)
The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\). (English) Zbl 1431.11068
Branching laws for the metaplectic cover of \(\operatorname{GL}_2\). (English) Zbl 1379.22017
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:
22E50
Generating weights for the Weil representation attached to an even order cyclic quadratic module. (English) Zbl 1421.11039
Remarks on metaplectic tensor products for covers of \(\mathrm{GL}_r\). (English) Zbl 1417.11089
MSC:
11F70
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups. (English) Zbl 1378.11061
Reviewer: Ivan Matić (Osijek)
The double cover of odd general spin groups, small representations, and applications. (English) Zbl 1430.11072
On an analogue of the Ichino-Ikeda conjecture for Whittaker coefficients on the metaplectic group. (English) Zbl 1418.11076
Twisted Whittaker models for metaplectic groups. (English) Zbl 1379.22018
Reviewer: Wen-Wei Li (Beijing)
Whittaker-Fourier coefficients of cusp forms on \(\widetilde{\mathrm{Sp}}_n\): reduction to a local statement. (English) Zbl 1367.11053
Reviewer: Fan Zhou (Orono)
On weak Mellin transforms, second degree characters and the Riemann hypothesis. (English) Zbl 1422.11179
Geometric classification of semidirect products in the maximal parabolic subgroup of \(\mathrm{Sp}(2,\mathbb{R})\). (English) Zbl 1370.22008
Reviewer: Takeshi Kawazoe (Yokohama)
Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\). (English) Zbl 1359.42017
Reviewer: Yogesh Sharma (Sardarpura)
MSC:
42C40
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. (English) Zbl 1358.70001
Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017).
Criteria for the existence of cuspidal theta representations. (English) Zbl 1360.11073
Reviewer: Marcela Hanzer (Zagreb)
Plancherel measures for coverings of \(p\)-adic \(\mathrm{SL}_2(F)\). (English) Zbl 1367.11052
Reviewer: Yuval Z. Flicker (Ariel)
MSC:
11F70
First occurrence indices of tempered representations of metaplectic groups. (English) Zbl 1342.22016
Reviewer: Anatoly N. Kochubei (Kyïv)
Restriction of the Weil representation to a maximal compact subgroup. (Restriction de la représentation de Weil à un sous-groupe compact maximal.) (French. English summary) Zbl 1341.22015
Reviewer: L. N. Vaserstein (University Park)
MSC:
22E50
A proof of the Howe duality conjecture. (English) Zbl 1342.11051
Reviewer: Dubravka Ban (Carbondale)
Character formula of representations associated with a closed orbit. (La formule du caractère des représentations associées à une orbite fermée.) (French. English summary) Zbl 1405.22024
A system of Schrödinger equations and the oscillator representation. (English) Zbl 1330.22016
Reviewer: Lubomira Softova (Aversa)
The stable trace formula for the metaplectic group: the elliptic terms. (La formule des traces stable pour le groupe métaplectique: les termes elliptiques.) (French) Zbl 1386.11074
Reviewer: Anton Deitmar (Tübingen)
Whittaker coefficients of metaplectic Eisenstein series. (English) Zbl 1372.11061
Reviewer: Bin Xu (Chengdu)
MSC:
11F70
On a certain metaplectic Eisenstein series and the twisted symmetric square \(L\)-function. (English) Zbl 1337.11032
Reviewer: Dubravka Ban (Carbondale)
Brandt matrices and theta series over global function fields. (English) Zbl 1331.11032
Mem. Am. Math. Soc. 1117, v, 61 p. (2015).
Reviewer: Gabriel D. Villa-Salvador (México D. F.)
Linear symplectomorphisms as \(R\)-Lagrangian subspaces. (English) Zbl 1380.37112
Reviewer: Luc Vrancken (Valenciennes)
Weil representation and metaplectic groups over an integral domain. (English) Zbl 1381.11033
Reviewer: J. G. M. Mars (Utrecht)
MSC:
11F27
The metaplectic fundamental lemma of Jacquet and Mao in equal characteristic. (Le lemme fondamental métaplectique de Jacquet et Mao en égales caractéristiques.) (French. English summary) Zbl 1323.11027
Reviewer: Laurent Guillopé (Nantes)
Extensions of the Heisenberg group by one-parameter groups of dilations which are subgroups of the affine and the symplectic groups. (English) Zbl 1393.22007
Metaplectic theta functions and global integrals. (English) Zbl 1366.11075
Reviewer: Ivan Matić (Osijek)
Spectral properties of Toeplitz operators acting on Gabor type reproducing kernel Hilbert spaces. (English) Zbl 1319.47024
Rassias, Themistocles M. (ed.) et al., Mathematics without boundaries. Surveys in pure mathematics. New York, NY: Springer (ISBN 978-1-4939-1105-9/hbk; 978-1-4939-1106-6/ebook). 163-180 (2014).
The residual spectrum of \(\mathrm{Mp}_{4}(\mathbb{A}_{k})\). (English) Zbl 1305.11042
Reviewer: Wen-Wei Li (Beijing)
MSC:
11F70
Discrete series of metaplectic groups having generic theta lifts. (English) Zbl 1305.22010
Reviewer: Anatoly N. Kochubei (Kyïv)
A reverse engineering approach to the Weil representation. (English) Zbl 1297.22008
Reviewer: L. N. Vaserstein (University Park)
MSC:
22E45
On metaplectic modular categories and their applications. (English) Zbl 1305.81105
Reviewer: Vida Milani (North Logan)
Anisotropic shearlet transforms for \(L^{2}(\mathbb R^k)\). (English) Zbl 1322.42041
Reviewer: Qiao-Fang Lian (Beijing)
A minimal even type of the 2-adic Weil representation. (English) Zbl 1294.22005
Reviewer: Wen-Wei Li (Beijing)
Reproducing subgroups of \(\mathrm{Sp}(2,\mathbb R)\). II: Admissible vectors. (English) Zbl 1305.42034
Reviewer: Takeshi Kawazoe (Yokohama)
The twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\). (English) Zbl 1316.11037
Reviewer: A. Sankaranarayanan (Mumbai)
MSC:
11F66
Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification. (English) Zbl 1311.22008
Reviewer: Łukasz Garncarek (Warszawa)
Equivalence of the metaplectic representation with sums of wavelet representations for a class of subgroups of the symplectic group. (English) Zbl 1309.22006
Reviewer: Franz Luef (Trondheim)
Degenerate principal series of metaplectic groups and Howe correspondence. (English) Zbl 1303.11062
Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 379-408 (2013).
Reviewer: Oleg Styrt (Moskva)
Global Lie symmetries of a system of Schrödinger equations and the oscillator representation. (English) Zbl 1299.22007
Weil representations associated with finite quadratic modules. (English) Zbl 1327.11032
Reviewer: Martin Westerholt-Raum (Göteborg)
MSC:
11F27
Some irreducibility theorems of parabolic induction on the metaplectic group via the Langlands-Shahidi method. (English) Zbl 1326.11023
Reviewer: Baiying Liu (Princeton)
Triangular subgroups of \(Sp(d,\mathbb R)\) and reproducing formulae. (English) Zbl 1267.42034
Reviewer: Krzysztof Stempak (Wrocław)
A metaplectic Casselman-Shalika formula for \(\mathrm{GL}_{r}\). (English) Zbl 1294.22012
Reviewer: Marcela Hanzer (Zagreb)
Admissible vectors for mock metaplectic representations. (English) Zbl 1277.42042
Reviewer: Takeshi Kawazoe (Yokohama)
Representations of metaplectic groups. II: Hecke algebra correspondences. (English) Zbl 1305.22020
Reviewer: Ivan Matić (Osijek)
Multiplicity one theorems for Fourier-Jacobi models. (English) Zbl 1280.22022
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:
22E50
Symplectic local root numbers, central critical \(L\)-values, and restriction problems in the representation theory of classical groups. (English) Zbl 1280.22019
Gan, Wee Teck et al., Sur les conjectures de Gross et Prasad. I. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-348-5/pbk). Astérisque 346, 1-109 (2012).
Reviewer: Marcela Hanzer (Zagreb)
Principal series representations of metaplectic groups over local fields. (English) Zbl 1283.11081
Bump, Daniel (ed.) et al., Multiple Dirichlet series, \(L\)-functions and automorphic forms. New York, NY: Birkhäuser (ISBN 978-0-8176-8333-7/hbk; 978-0-8176-8334-4/ebook). Progress in Mathematics 300, 299-327 (2012).
Reviewer: Dongwen Liu (Storrs)
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