DOI10.1515/crll.1996.481.73zbMath0857.22012OpenAlexW3886440MaRDI QIDQ3837516
Nolan R. Wallach, Gross, Benedict H.
Publication date: 11 March 1997
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002214210
THE MINIMAL MODULAR FORM ON QUATERNIONIC ⋮
Some small unipotent representations of indefinite orthogonal groups ⋮
A cocycle formula for the quaternionic discrete series ⋮
The sextonions and \(E_{7\frac12}\) ⋮
Heterotic-type II duality in twistor space ⋮
Unnamed Item ⋮
Branching laws, some results and new examples ⋮
Classification of minimal representations of real simple Lie groups ⋮
A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method ⋮
Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series ⋮
Modular forms on indefinite orthogonal groups of rank three ⋮
\(R^4\) couplings and automorphic unipotent representations ⋮
Spectrum generating conformal and quasiconformal U-duality groups, supergravity and spherical vectors ⋮
The Fourier expansion of modular forms on quaternionic exceptional groups ⋮
Special prehomogeneous vector spaces associated to \(F_{4}\), \(E_{6}\), \(E_{7}\), \(E_{8}\) and simple Jordan algebras of rank 3. ⋮
Realization of quaternionic discrete series on the unit ball in \(\mathbb H^d\) ⋮
Integrability of quaternion-Kähler symmetric spaces ⋮
Modular forms of half-integral weight on exceptional groups ⋮
Transfer of highest weight modules and small unipotent representations ⋮
Lie algebra and Dynkin index ⋮
The Plancherel formula of Fourier integral operators: The case of Sp(1,1) ⋮
Dual pairs correspondences of \(E_{8,4}\) and \(E_{7,4}\) ⋮
Small representations, string instantons, and Fourier modes of Eisenstein series ⋮
Transfers of \(K\)-types on local theta lifts of characters and unitary lowest weight modules ⋮
Theta lifting from elliptic cusp forms to automorphic forms on \(\mathrm{Sp}(1, q)\) ⋮
Nilpotent orbits and some small unitary representations of indefinite orthogonal groups. ⋮
Jordan algebras, exceptional groups, and Bhargava composition ⋮
Dual pair correspondences for non-linear covers of orthogonal groups ⋮
Duality for spherical representations in exceptional theta correspondences ⋮
Commutation relations of Hecke operators for Arakawa lifting ⋮
Minuscule embeddings ⋮
Quasi-conformal actions, quaternionic discrete series and twistors: \(\text{SU}(2, 1)\) and \(\text{G} _{2(2)}\) ⋮
Fourier expansion of Arakawa lifting. I: An explicit formula and examples of non-vanishing lifts ⋮
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Fourier expansion of Arakawa lifting II: Relation with central L-values ⋮
On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations ⋮
Howe quotients of unitary characters and unitary lowest weight modules ⋮
Modular forms on G 2 and their Standard L-Function ⋮
A quaternionic Saito-Kurokawa lift and cusp forms on \(G_2\) ⋮
On the Gelfand–Kirillov dimension of a discrete series representation ⋮
Restrictions of quaternionic representations ⋮
On Borel–de Siebenthal Representations ⋮
Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions ⋮
Fourier coefficients of modular forms on \(G_2\). ⋮
An evolution in six stages based on triality: A mathematical memoir ⋮
Sato-Tate equidistribution for families of automorphic representations through the stable trace formula
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