Found 6,390 Documents (Results 1–100)
On Borel’s stable range for the twisted cohomology of \(\mathrm{GL}(n,\mathbb{Z})\). (English) Zbl 07928800
On \(\mathfrak{sl}_2\)-triples for classical algebraic groups in positive characteristic. (English) Zbl 07928073
A non-vanishing criterion for Dirac cohomology. (English) Zbl 07928071
MSC:
22E46
Tensor products and intertwining operators between two uniserial representations of the Galilean Lie algebra \(\mathfrak{sl}(2) \ltimes {\mathfrak{h}}_n\). (English) Zbl 07925469
An avoidance principle and Margulis functions for expanding translates of unipotent orbits. (English) Zbl 07924659
The socle filtrations of principal series representations of \(\mathrm{SL}(3, \mathbf{R})\) and \(\mathrm{Sp}(2, \mathbf{R})\). (English) Zbl 07919763
Reviewer: Chao-Ping Dong (Changsha)
MSC:
22E46
Branching problem for tensoring two Verma modules and its application to differential symmetry breaking operators. (English) Zbl 07918128
Unipotent representations, theta correspondences, and quantum induction. (English) Zbl 07913532
Memoirs of the American Mathematical Society 1496. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7030-2/pbk; 978-1-4704-7874-2/ebook). vii, 90 p. (2024).
Fixed-point group conjugacy classes of unipotent elements in low-dimensional symmetric spaces of special linear groups over a finite field. (English) Zbl 07910536
Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces. (English) Zbl 07903041
Reviewer: V. V. Gorbatsevich (Moskva)
Berezin correspondence and Stratonovich-Weyl correspondence for the semi-direct product of the Heisenberg group and \(SU (p,q)\). (English) Zbl 07898737
Galleries for root subsystems. (English) Zbl 07896660
The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets. (English) Zbl 07895567
On discrepancy, intrinsic Diophantine approximation, and spectral gaps. (English. French summary) Zbl 07892781
Reviewer: Daniel Beltiţă (Bucureşti)
A Cauchy Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture. (English) Zbl 07890706
Reviewer: Jan Frahm (Århus)
Correction to: “\(N\)-point spherical functions and asymptotic boundary KZB equations”. (English) Zbl 07887300
Bruhat-Tits buildings, representations of \(p\)-adic groups and Langlands correspondence. (English) Zbl 07877987
Reviewer: Do Ngoc Diep (Hà Nội)
Quantized Weyl algebras, the double centralizer property, and a new first fundamental theorem for \(U_q(\mathfrak{gl}_n)\). (English) Zbl 07872281
Reviewer: Mee Seong Im (Annapolis)
Compact Lie groups and complex reductive groups. (English) Zbl 07860685
Reviewer: Robin van Haastrecht (Gothenburg)
Temperedness of locally symmetric spaces: the product case. (English) Zbl 1542.58004
Reviewer: Mohammed El Aïdi (Bogotá)
Conformally invariant differential operators on Heisenberg groups and minimal representations. (Opérateurs différentiels conformément invariants pour des groupes d’Heisenberg et représentations minimales.) (English. French summary) Zbl 1542.22002
Mémoires de la Société Mathématique de France. Nouvelle Série 180. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-986-9). vi, 139 p. (2024).
Reviewer: Do Ngoc Diep (Hà Nội)
On semisimple classes and component groups in type \(\mathsf{D}\). (English) Zbl 07839661
Reviewer: Nick Gill (Milton Keynes)
Branching laws of Klein four-symmetric pairs for \(\mathrm{Sp}(n,\mathbb{R})\). (English) Zbl 07839441
Reviewer: Jorge Vargas (Córdoba)
Galois cohomology and component group of a real reductive group. (English) Zbl 07834195
Reviewer: Dylon Chow (Seattle)
Spin norm and lambda norm. (English) Zbl 1537.22039
MSC:
22E46
A topological Paley-Wiener-Schwartz theorem for sections of homogeneous vector bundles on \(G/K\). (English) Zbl 1536.22028
On bases of \(\mathfrak{g}\)-invariant endomorphism algebras. (English) Zbl 07830480
Reviewer: Husileng Xiao (Harbin)
The \(R\)-matrix presentation for the rational form of a quantized enveloping algebra. (English) Zbl 07828235
On some conjectures of the unitary dual of \(U(p,q)\). (English) Zbl 1542.22023
Reviewer: Takeshi Kawazoe (Yokohama)
The geometry of the projective action of \(\mathrm{SL}(3,\mathbb{R})\) from the Erlangen perspective. (English) Zbl 1536.22019
Reviewer: Rainer Löwen (Braunschweig)
Extension of characters from the radical of a connected Lie group to a one-dimensional pure pseudorepresentation of the group revisited. (English) Zbl 1535.22052
Reviewer: Enrico Jabara (Venezia)
The enhanced period map and equivariant deformation quantizations of nilpotent orbits. (English) Zbl 1537.22045
Reviewer: Serhii D. Koval (St. John’s)
Transfer of highest weight modules and small unipotent representations. (English) Zbl 1540.22030
Reviewer: Salah Mehdi (Metz)
Special unipotent representations of simple linear Lie groups of type \(A\). (English) Zbl 1540.22027
Reviewer: Nicolás Arancibia Robert (Paris)
Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras. (English) Zbl 07815106
Irreducible representations of \(\mathrm{GL}_n (\mathbb{C})\) of minimal Gelfand-Kirillov dimension. (English) Zbl 1540.22026
Reviewer: Pallav Goyal (Riverside)
On Lie algebra modules which are modules over semisimple group schemes. (English) Zbl 1534.14046
Reviewer: Mee Seong Im (Annapolis)
Homogeneous Sasakian and \(3\)-Sasakian structures from the spinorial viewpoint. (English) Zbl 07807345
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula. (English) Zbl 1536.22026
Reviewer: Robin Van Haastrecht (Gothenburg)
On local intertwining periods. (English) Zbl 1540.22041
Reviewer: Chuijia Wang (Haifa)
Wiener Tauberian theorems for certain Banach algebras on real rank one semisimple Lie groups. (English) Zbl 1542.43009
Reviewer: Elijah Liflyand (Ramat-Gan)
Non-existence of integral Hopf orders for twists of several simple groups of Lie type. (English) Zbl 07787900
Reviewer: Sonia Natale (Córdoba)
The relatively universal cover of the natural embedding of the long root geometry for the group \(\mathrm{SL}(n+1,\mathbb{K})\). arXiv:2410.17023
Preprint, arXiv:2410.17023 [math.RT] (2024).
Conditioned random walks on linear groups II: local limit theorems. arXiv:2410.05897
Preprint, arXiv:2410.05897 [math.PR] (2024).
Conditioned random walks on linear groups I: construction of the target harmonic measure. arXiv:2410.05812
Preprint, arXiv:2410.05812 [math.PR] (2024).
Multiplicity One Theorem for General Spin Groups: The Archimedean Case. arXiv:2409.09320
Preprint, arXiv:2409.09320 [math.RT] (2024).
On Harish-Chandra’s Plancherel theorem for Riemannian symmetric spaces. arXiv:2409.08113
Preprint, arXiv:2409.08113 [math.RT] (2024).
Regularity of K-finite matrix coefficients of semisimple Lie groups. arXiv:2409.07944
Preprint, arXiv:2409.07944 [math.GR] (2024).
On Character Variety of Anosov Representations. arXiv:2409.07316
Preprint, arXiv:2409.07316 [math.GT] (2024).
Integrable system on minimal nilpotent orbit. arXiv:2408.13020
Preprint, arXiv:2408.13020 [math.AG] (2024).
Two results on the Convex Algebraic Geometry of sets with continuous symmetries. arXiv:2408.03231
Preprint, arXiv:2408.03231 [math.AG] (2024).
Non-null framed bordant simple Lie groups. arXiv:2408.02682
Preprint, arXiv:2408.02682 [math.AT] (2024).
Differential symmetry breaking operators from a line bundle to a vector bundle over real projective spaces. arXiv:2408.01213
Preprint, arXiv:2408.01213 [math.RT] (2024).
An explicit formula for free multiplicative Brownian motions via spherical functions. arXiv:2408.00535
Preprint, arXiv:2408.00535 [math.PR] (2024).
On the operator-valued Fourier transform of the Harish-Chandra Schwartz Algebra. arXiv:2407.20755
Preprint, arXiv:2407.20755 [math.RT] (2024).
Minimal equivariant embeddings of the Grassmannian and flag manifold. arXiv:2407.12546
Preprint, arXiv:2407.12546 [math.RT] (2024).
\(5 \times 5\)-graded Lie algebras, cubic norm structures and quadrangular algebras. arXiv:2407.10672
Preprint, arXiv:2407.10672 [math.RA] (2024).
\((k, a)\)-generalized Fourier transform with negative \(a\). arXiv:2407.01345
Preprint, arXiv:2407.01345 [math.RT] (2024).
Some remarks on real minimal nilpotent orbits and symmetric pairs. arXiv:2407.00675
Preprint, arXiv:2407.00675 [math.RT] (2024).
Contact forms on SL(2p). arXiv:2406.15645
Preprint, arXiv:2406.15645 [math.DG] (2024).
Irreducible representations of \(\mathrm{SL}(2,\mathrm{R})\) on Hilbert spaces are admissible. arXiv:2406.12626
Preprint, arXiv:2406.12626 [math.RT] (2024).
MSC:
22E46
Diagrammatics for the smallest quantum coideal and Jones–Wenzl projectors. arXiv:2406.12132
Preprint, arXiv:2406.12132 [math.RT] (2024).
The special unitary groups \(SU(2n)\) as framed manifolds. arXiv:2406.11878
Preprint, arXiv:2406.11878 [math.AT] (2024).
An effective Deligne’s equidistribution theorem. arXiv:2406.09633
Preprint, arXiv:2406.09633 [math.NT] (2024).
Unipotent quantum coordinate ring and cominuscule prefundamental representations. arXiv:2406.02870
Preprint, arXiv:2406.02870 [math.RT] (2024).
\(G\)-tables and the Poisson structure of the even cohomology of cotangent bundle of the Heisenberg Lie group. arXiv:2405.20942
Preprint, arXiv:2405.20942 [math.RT] (2024).
Geometric categorifications of Verma modules: Grassmannian Quiver Hecke algebras. arXiv:2405.20262
Preprint, arXiv:2405.20262 [math.RT] (2024).
The \(L_p\)-dual space of a semisimple Lie group. arXiv:2405.12919
Preprint, arXiv:2405.12919 [math.RT] (2024).
Benedicks-type uncertainty principle for metaplectic time-frequency representations. arXiv:2405.12112
Preprint, arXiv:2405.12112 [math.FA] (2024).
Dirac cohomology of minimal representations. arXiv:2404.17408
Preprint, arXiv:2404.17408 [math.RT] (2024).
MSC:
22E46
Dirac cohomology, branching laws and Wallach modules. arXiv:2404.03918
Preprint, arXiv:2404.03918 [math.RT] (2024).
MSC:
22E46
Polar Brauer categories, infinitesimal braids and Lie superalgebra representations. arXiv:2404.00515
Preprint, arXiv:2404.00515 [math.RT] (2024).
Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks. arXiv:2403.16737
Preprint, arXiv:2403.16737 [math.DS] (2024).
Quantum resonances and scattering poles of classical rank one locally symmetric spaces. arXiv:2403.14426
Preprint, arXiv:2403.14426 [math.SP] (2024).
Branching algebras for the general linear Lie superalgebra. arXiv:2403.11393
Preprint, arXiv:2403.11393 [math.RT] (2024).
Toeplitz operators with symmetric, alternating and anti-symmetric separately radial symbols on the unit ball. arXiv:2403.08138
Preprint, arXiv:2403.08138 [math.FA] (2024).
Spin Representations and Binary Numbers. arXiv:2403.00931
Preprint, arXiv:2403.00931 [math.RT] (2024).
MSC:
22E46
A Note On the Orbits of a Symmetric Subgroup in the Flag Variety. arXiv:2402.17952
Preprint, arXiv:2402.17952 [math.RT] (2024).
MSC:
22E46
Automorphic density estimates and optimal Diophantine exponents. arXiv:2402.15875
Preprint, arXiv:2402.15875 [math.NT] (2024).
Fourier and small ball estimates for word maps on unitary groups. arXiv:2402.11108
Preprint, arXiv:2402.11108 [math.GR] (2024).
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces. arXiv:2402.02530
Preprint, arXiv:2402.02530 [math.RT] (2024).
New Branching Formulae for Classical Groups and Relations among them. arXiv:2402.01436
Preprint, arXiv:2402.01436 [math.RT] (2024).
MSC:
22E46
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