Results 61 to 70 of about 1,157 (152)

Heisenberg Parabolically Induced Representations of Hermitian Lie Groups, Part II: Next-to-Minimal Representations and Branching Rules [PDF]

Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most Hermitian groups, this family contains a complementary series, and at its endpoint sits a proper unitarizable subrepresentation.
Frahm, Jan, Weiske, Clemens, Zhang, Genkai   +2 more
openaire   +2 more sources

A Re‐Examination of Foundational Elements of Cosmology

Fortschritte der Physik, Volume 74, Issue 3, March 2026.
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley   +1 more source

The Ricci-Bourguignon flow on Heisenberg and quaternion Lie groups

, 2018
In this paper, we study the Ricci-Bourguignon flow on higher dimensional classical Heisenberg nilpotent Lie groups and construct a solution of this flow on Heisenberg and quaternion nilpotent Lie groups. In the end, we investigate the deformation of spectrum and length spectrum on compact nilmanifolds obtained of Heisenberg and quaternion nilpotent Lie
openaire   +3 more sources

High‐Precision Measurement of Time Delay with Frequency‐Resolved Hong‐Ou‐Mandel Interference of Weak Coherent States

Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.
High‐precision time‐delay measurements are demonstrated using frequency‐resolved Hong‐Ou Mandel (HOM) interference with weak coherent states. The method, by exploiting the quantum eraser phenomenon, achieves low uncertainty even for delays exceeding the photon coherence time, where traditional HOM interferometry fails, thus confirming theoretical ...
Francesco Di Lena, Fabrizio Sgobba, Danilo Triggiani, Andrea Andrisani, Cosmo Lupo, Piergiorgio Daniele, Gennaro Fratta, Giulia Acconcia, Ivan Rech, Luigi Santamaria Amato   +9 more
wiley   +1 more source

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima   +2 more
wiley   +1 more source

Non-compact quantum groups arising from Heisenberg type Lie bialgebras

, 1998
The dual Lie bialgebra of a certain ``quasitriangular'' Lie bialgebra structure on the Heisenberg Lie algebra determines a (non-compact) Poisson--Lie group G. The compatible Poisson bracket on G is non-linear, but it can still be realized as a ``cocycle perturbation'' of the linear Poisson bracket.
openaire   +3 more sources

Corrigendum to “Complex contact Lie groups and generalized complex Heisenberg groups” [Differential Geom. Appl. 24 (2006) 443–446]

Differential Geometry and its Applications, 2007
AbstractWe restate and prove the main theorem of the paper “Complex contact Lie groups and generalized complex Heisenberg groups”.
openaire   +1 more source

G-tables and the Poisson structure of the even cohomology of cotangent bundle of the Heisenberg Lie group

Journal of Algebra
In the first part of the paper, we define the concept of a $G$-table of a $G$-(co)algebra and we compute the $G$-table of some $G$-(co)algebras (here a $G$-algebra is an algebra on which $G$ acts, semisimply, by algebra automorphisms). The $G$-table of a $G$-(co)algebra $A$ is a set of scalars that provides very precise and concise information about ...
Leandro Cagliero, Gonzalo Gutierrez
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$L^p$- Heisenberg--Pauli--Weyl uncertainty inequalities on certain two-step nilpotent Lie groups

This article presents the $L^p$-Heisenberg-Pauli-Weyl uncertainty inequality for the group Fourier transform on a broad class of two-step nilpotent Lie groups, specifically the two-step MW groups. This inequality quantitatively demonstrates that on two-step MW groups, a nonzero function and its group Fourier transform cannot both be sharply localized ...
Ganguly, Pritam, Sarkar, Jayanta
openaire   +2 more sources

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]

Manuscr Math
Chatzakou M, Ruzhansky M, Shriwastawa A.
europepmc   +1 more source