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Spherical unitary dual of general linear group over non-Archimidean local field

Marko Tadic (1986)

Annales de l'institut Fourier

Let $F$ be a local non-archimedean field. The set of all equivalence classes of irreducible spherical representations of $G L (n, F)$ is described in the first part of the paper. In particular, it is shown that each irreducible spherical representation is parabolically induced by an unramified character. Bernstein’s result on the irreducibility of the parabolically induced representations of $G L (n, F)$ by irreducible unitary ones, and Ol’shanskij’s construction of complementary series give directly a description of all...

Spin representations and binary numbers

Henrik Winther (2024)

Archivum Mathematicum

We consider a construction of the fundamental spin representations of the simple Lie algebras $𝔰𝔬 (n)$ in terms of binary arithmetic of fixed width integers. This gives the spin matrices as a Lie subalgebra of a $ℤ$ -graded associative algebra (rather than the usual $ℕ$ -filtered Clifford algebra). Our description gives a quick way to write down the spin matrices, and gives a way to encode some extra structure, such as the real structure which is invariant under the compact real form, for some $n$ . Additionally...

Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group

S. T. Ali, J.-P. Antoine, J.-P. Gazeau (1991)

Annales de l'I.H.P. Physique théorique

Stability in level 0, for the odd orthogonal $p$ -adic groups. (Stabilité en niveau 0, pour les groupes orthogonaux impairs $p$ -adiques.)

Moeglin, Colette (2004)

Documenta Mathematica

Currently displaying 101 – 120 of 203

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Displaying 101 – 120 of 203

Spherical unitary dual of general linear group over non-Archimidean local field

Spin representations and binary numbers

Spinc-quantization and the K-multiplicities of the discrete series

Spinorial matter and general relativity theory

Spinor-type fields with linear, affine and general coordinate transformations

Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group

Square integrability of group representations on homogeneous spaces. I. Reproducing triples and frames

Square Integrable Automorphic Forms and Cohomology of Arithmetic Quotients of SU (p,q).

Square-integrability of tensor products.

Square-integrable representations mod $Z$ of unipotent groups

Stability in level 0, for the odd orthogonal $p$ -adic groups. (Stabilité en niveau 0, pour les groupes orthogonaux impairs $p$ -adiques.)

Stability of gamma factors for SO (2n + 1).

Stability of mappings with bounded distortion in the Sobolev norm on the John domains of Heisenberg groups.

Stability of mappings with bounded distortion on a Heisenberg group.

Stabilizers of lattices in Lie groups.

Stable base change C / R of certain derived functor modules.

Stable semi-groups of measures as commutative approximate identities on non-graded homogeneous groups.

Stable Trace Formula: Elliptic Singular Terms.

Standard domino tableaux and asymptotic Hecke algebras

Stein extensions of Riemann symmetric spaces and some generalization.

Currently displaying 101 – 120 of 203