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In this paper, we introduce and study the Weyl transform of functions which are integrable with respect to a vector measure on a phase space associated to a locally compact abelian group. We also study the Weyl transform of vector measures.…

Functional Analysis · Mathematics 2024-10-10 Ritika Singhal , N. Shravan Kumar

We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.

Quantum Algebra · Mathematics 2007-05-23 Igor Frenkel , Mikhail Khovanov , Olivier Schiffmann

We consider smooth actions of lattices in higher-rank semisimple Lie groups on manifolds. We define two numbers $r(G)$ and $m(G)$ associated with the roots system of the Lie algebra of a Lie group $G$. If the dimension of the manifold is…

Dynamical Systems · Mathematics 2017-01-06 Aaron Brown , Federico Rodriguez Hertz , Zhiren Wang

The decay constants of B, D and K mesons are computed in quenched lattice QCD at two different values of the coupling. The action and operators are O(a) improved with non-perturbative coefficients. The results are f_B=195(6)(+24/-23) MeV,…

High Energy Physics - Lattice · Physics 2014-11-17 K. C. Bowler , L. Del Debbio , J. M. Flynn , G. N. Lacagnina , V. I. Lesk , C. M. Maynard , D. G. Richards

Inclusive semileptonic decays are discussed in the framework of heavy quark effective field theory by employing the short distance expansion in the effective theory. The lowest order term turns out to be the parton model; the higher order…

High Energy Physics - Phenomenology · Physics 2009-10-22 Thomas Mannel

We investigate the four-derivative free Weyl action for two-column mixed-symmetry field that makes use of maximal gauge symmetries. In flat space, the action can be uniquely determined from gauge and Weyl (trace shift) symmetry…

High Energy Physics - Theory · Physics 2016-10-25 Euihun Joung , Karapet Mkrtchyan

Several high energy experiments have been actively pursuing the analyses of semileptonic decays of charm mesons, resulting in numerous new results and publications. In this report, we summarize the recent efforts on the topics of…

High Energy Physics - Experiment · Physics 2008-11-26 Doris Yangsoo Kim

For certain nilpotent real Lie groups constructed as semidirect products, algebras of invariant differential operators on some coadjoint orbits are used in the study of boundedness properties of the Weyl-Pedersen calculus of their…

Representation Theory · Mathematics 2014-11-06 Ingrid Beltita , Daniel Beltita , Mihai Pascu

We exhibit a correspondence between subcategories of modules over an algebra and sub-bimodules of the dual of that algebra. We then prove that the semisimplicity of certain such categories is equivalent to the existence of a Peter-Weyl…

Quantum Algebra · Mathematics 2015-09-08 John E. Foster

The paper investigates two invariants for totally disconnected locally compact groups: the number of ends and the rational discrete cohomological dimension. For such a compactly generated group $G$ it is shown that its number of ends can be…

Group Theory · Mathematics 2025-07-08 Ilaria Castellano , Bianca Marchionna , Thomas Weigel

We present a comprehensive analysis of weak transition form factors, semileptonic decays, and nonleptonic decays of $B_c$ meson involving pseudoscalar ($P$) and vector ($V$) meson for bottom-conserving and bottom-changing decay modes. We…

High Energy Physics - Phenomenology · Physics 2024-10-08 Thejus Mary S. , Avijit Hazra , Neelesh Sharma , Rohit Dhir

Using the variational principle, we compute mass spectra and decay constants of ground state pseudoscalar and vector mesons in the light-front quark model (LFQM) with the QCD-motivated effective Hamiltonian including the hyperfine…

High Energy Physics - Phenomenology · Physics 2015-12-09 Ho-Meoyng Choi , Chueng-Ryong Ji , Ziyue Li , Hui-Young Ryu

We report recent progress in data analysis on the two point correlation functions which will be prerequisite to obtain semileptonic form factors for the $B_{(s)} \to D_{(s)}\ell\nu$ decays. We use a MILC HISQ ensemble for the measurement.…

The paper investigates quantitative weak mixing of Salem substitutions flows. We prove that for a substitution whose substitution matrix is irreducible over the rationals and the dominant eigenvalue is a Salem number, for almost every…

Dynamical Systems · Mathematics 2026-01-22 Juan Marshall-Maldonado , Boris Solomyak

Colloidal mixtures represent a versatile model system to study transport in complex environments. They allow for a systematic variation of the control parameters, namely size ratio, total volume fraction and composition. We study the…

Using mainly tools from [B.13] and [B.15] we give a necessary and sufficient condition in order that a holomorphic action of a connected complex Lie group $G$ on a reduced complex space $X$ admits a strongly quasi-proper meromorphic…

Algebraic Geometry · Mathematics 2015-05-27 Daniel Barlet

In this note semibounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is to provide new sufficient conditions on…

Spectral Theory · Mathematics 2017-10-23 Jussi Behrndt , Matthias Langer , Vladimir Lotoreichik , Jonathan Rohleder

We study a positive-definite function associated to a measure-preserving equivalence relation on a standard probability space and use it to measure quantitatively the proximity of subequivalence relations. This is combined with a recent…

Dynamical Systems · Mathematics 2008-06-04 A. Ioana , A. S. Kechris , T. Tsankov

We introduce the contributions to the proceedings of Working Group V. The main topics were: present and future experiments dedicated to charm physics, the interplay between high-precision measurements and better control over theoretical…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Wittig , A. A. Petrov , D. G. Cassel

We present the leading order mixed-action effect $\Delta_{\rm mix}\equiv m_{\pi,{\rm vs}}^2-\frac{m_{\pi,{\rm vv}}^2+m_{\pi,{\rm ss}}^2}{2}$ using HISQ, clover or overlap valence fermion actions on gauge ensembles using various sea fermion…

High Energy Physics - Lattice · Physics 2023-05-10 Dian-Jun Zhao , Gen Wang , Fangcheng He , Luchang Jin , Peng Sun , Yi-Bo Yang , Kuan Zhang
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