Degenerations of spherical subalgebras and spherical roots. (English) Zbl 1541.14072
Reviewer: Matilde Maccan (Rennes)
Found 85 Documents (Results 1–85)
On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees. (English) Zbl 07476299
On double coset decompositions of real reductive groups for reductive absolutely spherical subgroups. (English) Zbl 1493.22017
Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 229-267 (2021).
Reviewer: Sergei S. Platonov (Petrozavodsk)
On the action of the restricted Weyl group on the set of orbits a minimal parabolic subgroup. (English. Russian original) Zbl 1508.14053
Dokl. Math. 101, No. 1, 25-29 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 29-34 (2020).
Equivariant models of spherical varieties. (English) Zbl 1440.14232
Reviewer: Yuval Z. Flicker (Ariel)
Periods, cycles, and \(L\)-functions: a relative trace formula approach. (English) Zbl 1443.11078
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 487-521 (2018).
Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. (English) Zbl 1507.14070
Orbits of strongly solvable spherical subgroups on the flag variety. (English) Zbl 1453.14127
Reviewer: Paolo Bravi (Roma)
MSC:
14M27
Governing singularities of symmetric orbit closures. (English) Zbl 1427.14106
Reviewer: Alessandro Ruzzi (Montreuil)
The geometry of spherical space form groups. 2nd edition. (English) Zbl 1395.57001
Series in Pure Mathematics 28. Singapore: World Scientific (ISBN 978-981-3220-78-2/hbk; 978-981-3220-80-5/ebook). xiii, 493 p. (2018).
Reviewer: Thomas Schick (Göttingen)
Finite orbit decomposition of real flag manifolds. (English) Zbl 1342.22036
Reviewer: Andreas Arvanitoyeorgos (Patras)
\(K\)-orbit closures on \(G/B\) as universal degeneracy loci for flagged vector bundles splitting as direct sums. (English) Zbl 1372.14040
Reviewer: Jacopo Gandini (Pisa)
Satake diagrams and real structures on spherical varieties. (English) Zbl 1348.14123
Reviewer: Dmitri A. Timashev (Moskva)
On quotients of affine spherical varieties by certain unipotent subgroups. (English) Zbl 1357.14066
Reviewer: Vladimir L. Popov (Moskva)
On orbits in double flag varieties for symmetric pairs. (English) Zbl 1295.14043
Reviewer: Dmitri Panyushev (Bonn)
Schubert calculus of richardson varieties stable under spherical Levi subgroups. (English) Zbl 1284.14069
Reviewer: Paolo Bravi (Roma)
Normalizers of solvable spherical subgroups. (English. Russian original) Zbl 1285.22014
Math. Notes 94, No. 1, 20-31 (2013); translation from Mat. Zametki 94, No. 1, 22-35 (2013).
Reviewer: Maneesh Thakur (New Delhi)
Closed orbits and uniform \(S\)-instability in geometric invariant theory. (English) Zbl 1284.20051
Reviewer: Balasubramanian Sury (Bangalore)
A metaplectic Casselman-Shalika formula for \(\mathrm{GL}_{r}\). (English) Zbl 1294.22012
Reviewer: Marcela Hanzer (Zagreb)
Harmonic analysis on spherical homogeneous spaces with solvable stabilizer. (English. Russian original) Zbl 1279.43011
Funct. Anal. Appl. 46, No. 3, 161-172 (2012); translation from Funkts. Anal. Prilozh. 46, No. 3, 1-15 (2012).
Reviewer: Valentina Cesarino (Vicenza)
Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup. (English) Zbl 1271.14068
Sb. Math. 203, No. 11, 1535-1552 (2012); translation from Mat. Sb. 203, No. 11, 3-22 (2012).
Reviewer: Dmitri Panyushev (Bonn)
On Frobenius splitting of orbit closures of spherical subgroups in flag varieties. (English) Zbl 1264.14066
Reviewer: Jacopo Gandini (Göttingen)
Harmonic analysis on a class of spherical homogeneous spaces. (English. Russian original) Zbl 1286.43010
Math. Notes 90, No. 5, 678-685 (2011); translation from Mat. Zametki 90, No. 5, 703-711 (2011).
Reviewer: Vasily A. Chernecky (Odessa)
Sphericity and multiplication of double cosets for infinite-dimensional classical groups. (English. Russian original) Zbl 1271.22019
Funct. Anal. Appl. 45, No. 3, 225-239 (2011); translation from Funkts. Anal. Prilozh. 45, No. 3, 79-96 (2011).
MSC:
22E66
On solvable spherical subgroups of semisimple algebraic groups. (English. Russian original) Zbl 1256.20046
Trans. Mosc. Math. Soc. 2011, 1-44 (2011); translation from Tr. Mosk. Mat. O.-va 2011, No. 1, 5-62 (2011).
Reviewer: Maneesh Thakur (New Delhi)
Spherical gradient manifolds. (English) Zbl 1214.32007
Reviewer: Eberhard Oeljeklaus (Bremen)
A generalized Poisson transform of an \(L^{p}\)-function over the Shilov boundary of the \(n\)-dimensional Lie ball. (English) Zbl 1208.32008
Congruence subgroups and generalized Frobenius-Schur indicators. (English) Zbl 1206.18007
Reviewer: Christopher P. Bendel (Menomonie)
Complete reducibility and separable field extensions. (English) Zbl 1216.20037
Reviewer: L. N. Vaserstein (University Park)
Uniqueness property for spherical homogeneous spaces. (English) Zbl 1175.14035
Reviewer: Ivan V. Arzhantsev (Moskva)
Fatou’s theorems and a generalized Poisson transform of an \(L^{p}\)-function over the Shilov boundary of the bounded symmetric domain of type I. (English) Zbl 1135.32007
Totally disconnected locally compact groups as geometric objects. A survey of work in progress. (English) Zbl 1162.22001
Arzhantseva, Goulnara N. (ed.) et al., Geometric group theory. Geneva and Barcelona conferences. Selected papers of the conference on asymptotic and probabilistic methods in geometric group theory, Geneva, Switzerland, June 20–25, 2005 and the Barcelona conference in group theory, Barcelona, Spain, June 28 – July 3, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8411-1/hbk). Trends in Mathematics, 1-20 (2007).
Reviewer: Aubrey Wulfsohn (Coventry)
Flat rank of automorphism groups of buildings. (English) Zbl 1145.22012
Reviewer: Aubrey Wulfsohn (Coventry)
About Knop’s action of the Weyl group on the set of orbits of a spherical subgroup in the flag manifold. (English) Zbl 1104.22016
Reviewer: Richard Bödi (Rüschlikon)
On the canonical embeddings of certain homogeneous spaces. (English) Zbl 1085.14044
Vinberg, Ernest (ed.), Lie groups and invariant theory. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3733-8/hbk). Translations. Series 2. American Mathematical Society 213. Advances in the Mathematical Sciences 56, 63-83 (2005).
Reviewer: Lucy Moser-Jauslin (Dijon)
Real forms of complex reductive groups acting on quasiaffine varieties. (English) Zbl 1081.14067
Vinberg, Ernest (ed.), Lie groups and invariant theory. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3733-8/hbk). Translations. Series 2. American Mathematical Society 213. Advances in the Mathematical Sciences 56, 1-13 (2005).
Reviewer: John Lorch (Muncie)
Split BN-pairs of rank at least 2 and the uniqueness of splittings. (English) Zbl 1091.20023
Reviewer: Theo Grundhöfer (Würzburg)
\(B_{n-1}\)-orbits on the flag variety \(\text{GL}_n/B_n\). (English) Zbl 1060.14072
Reviewer: Dmitri Panyushev (Moskva)
Fourier-Jacobi type spherical functions for \(P_J\)-principal series representations of \(\text{Sp}(2,\mathbb R)\). (English) Zbl 1015.11017
Reviewer: J.G.M.Mars (Utrecht)
Spherical varieties of type A. (Variétés sphériques de type A.) (French) Zbl 1085.14039
Reviewer: Lucy Moser-Jauslin (Dijon)
Spherical Fourier transform of type \(\delta\). Applications to semi-simple Lie groups. (Transformation de Fourier sphérique de type \(\delta\). Applications aux groupes de Lie semi-simples.) (French) Zbl 1008.43003
Reviewer: Ali Baklouti (Sfax)
MSC:
43A30
\(G_2\)-periods and residual representations. (English) Zbl 0931.11014
Reviewer: D.Jiang (New Haven / CT)
Spherical varieties. (English) Zbl 0862.14031
Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 753-760 (1995).
Reviewer: F.Pauer (Innsbruck)
An MPW problem of the matrix functions induced by zonal spherical function. III. (Chinese. English summary) Zbl 0832.15002
MSC:
15A15
On the Harish-Chandra homomorphism for the Chevalley groups over \(p\)-adic field. (English) Zbl 0830.22009
Reviewer: B.Kunyavskii (Ramat Gan)
Harmonic analysis of automorphism groups of Bruhat-Tits trees. (Analyse harmonique des groupes d’automorphismes d’arbres de Bruhat-Tits.) (French. English summary) Zbl 0840.43019
Mém. Soc. Math. Fr., Nouv. Sér. 58, 1-166 (1994).
Reviewer: F.Choucroun (Paris)
Nonfibering spherical 3-orbifolds. (English) Zbl 0808.57007
Reviewer: E.Molnár (Budapest)
Representation of Lie groups and special functions. Volume 2: Class I representations, special functions, and integral transforms. (English) Zbl 0809.22001
Mathematics and Its Applications. Soviet Series. 74. Dordrecht: Kluwer Academic Publishers. xviii, 607 p. (1993).
Reviewer: W.Miller jun.(Minneapolis)
Generating functions and integral representations for the spherical functions on some classical Gelfand pairs. (English) Zbl 0801.43003
Reviewer: Diep Do Ngoc (Hanoi)
Some results on the unramified principal series of \(p\)-adic groups. (English) Zbl 0804.22007
Reviewer: A.Deitmar (Heidelberg)
On special values of Selberg type zeta functions on \(SU(1,q+1)\). (English) Zbl 0751.11028
Reviewer: J.Elstrodt (Münster)
On the first Betti numbers of hyperbolic surfaces. (English) Zbl 0741.22011
Reviewer: Y.Ye (Iowa City)
Spherical convolution with kernels having singularities on an equator. (English) Zbl 0760.43003
Reviewer: Morisuke Hasumi (Mito/Ibaraki)
Unitary representations of infinite dimensional pairs (G,K) and the formalism of R. Howe. (English) Zbl 0724.22020
Representation of Lie groups and related topics, Adv. Stud. Contemp. Math. 7, 269-463 (1990).
Reviewer: A.Deitmar (Bonn)
Sur les groupes \(Ext^ n\) des représentations des groupes de Lie semi- simples. II. (On the groups \(Ext^ n\) of representations of semisimple Lie groups. II). (French) Zbl 0722.22008
Reviewer: M.Picardello (Roma)
Une extension du théorème de Borel-Weil. (An extension of the Borel- Weil theorem). (French) Zbl 0718.14011
Reviewer: G.Horrocks (Newcastle upon Tyne)
On Gelfand pairs associated with solvable Lie groups. (English) Zbl 0704.22006
Reviewer: H. Fujiwara
The geometry of spherical space form groups. (English) Zbl 0789.57001
Series in Pure Mathematics. 7. Singapore: World Scientific. 361 p. (1989).
Reviewer: L. Maxim-Răileanu (Iaşi)
Fourier series with nonnegative coefficients on compact semisimple Lie groups. (English) Zbl 0729.43009
Reviewer: Diep Do Ngoc (Hanoi)
Zonal spherical functions on the quantum homogeneous space \(\text{SU}_ q(n+1)/\text{SU}_ q(n)\). (English) Zbl 0709.43008
Reviewer: H.Yamada
Fonctions généralisées sphériques induites sur \(G_{{\mathbb{C}}}/G_{{\mathbb{R}}}\). (Induced spherical generalized functions on \(G_{{\mathbb{C}}}/G_{{\mathbb{R}}})\). (French) Zbl 0704.43010
Reviewer: Na Jisheng
Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.). (French) Zbl 0701.14052
Reviewer: E.Casas-Alvero
Asymptotic behavior of Flensted-Jensen’s spherical trace functions with respect to spectral parameters. (English) Zbl 0791.22009
Algebraic analysis, geometry, and number theory, Proc. JAMI Inaugur. Conf., Baltimore/MD (USA) 1988, 313-323 (1989).
Reviewer: T.Kawazoe (Yokohama)
Finite multiplicity theorems for induced representations of semisimple Lie groups. I. (English) Zbl 0734.22004
Reviewer: A.Strasburger (Warszawa)
On the notion of the rank of a spherical homogeneous space. (Russian) Zbl 0663.22007
Reviewer: M.G.Zajdenberg
A note on spherical function-induced subgroups. (English) Zbl 0662.20006
Reviewer: E.Spiegel
Fourier and Poisson transformation associated to a semisimple symmetric space. (English) Zbl 0665.43004
Complete description of the indecomposable spherical functions on the infinite-dimensional group of motions. (Russian. English summary) Zbl 0631.43006
Formules limites et formules asymptotiques pour les multiplicités dans \(L^ 2(G/\Gamma)\). (Limit formulas and asymptotic formulas for the multiplicities in \(L^ 2(G/\Gamma))\). (French) Zbl 0623.22012
Reviewer: R.Miatello
Representation theory of semisimple groups. An overview based on examples. (English) Zbl 0604.22001
Princeton Mathematical Series, 36. Princeton, New Jersey: Princeton University Press. XVII, 773 p. $ 75.00 (1986).
Reviewer: S.Prishchepionok
Restriction of spherical representations of \(PGL_ 2({\mathbb{Q}}_ p)\) to discrete subgroup. (English) Zbl 0565.43008
Reviewer: E.Gootman
On the spherical functions with one dimensional K-types and the Paley- Wiener type theorem on some simple Lie groups. (English) Zbl 0552.43006
Harmonic analysis on Lie groups and related topics, Lect. Math., Dep. Math. Kyoto Univ. 14, 177-188 (1982).
Reviewer: G.van Dijk
Reidemeister torsion, surgery invariants and spherical space forms. (English) Zbl 0495.57015
Prepr. Ser., Aarhus Univ. 1981/82, No. 16, 94 p. (1981).
Harmonic analysis on reductive groups over local fields. (English) Zbl 0476.22011
Ber. Math.-Stat. Sekt. Forschungszent. Graz 161, 11 p. (1981).
The unramified principal series of p-adic groups. II: The Whittaker function. (English) Zbl 0472.22005
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