Search results for "REPRESENTATION"
showing 10 items of 1710 documents
Helena Niemirowska Syrkus. Graphic Analysis of the ‘House of Dr. N. in Warsaw’
2015
The paper proposes a graphic re-reading of the “House of Dr. N. in Warsaw” that Helena Niemirowska, female pioneer of Modern Movement, designed in 1932. The building, on two levels, shows in its form a strict geometric layout and a three parted-subdivision plan in which she defines the functional inside layout both at the ground floor and at the first one. Helena combines Suprematism and the Modern Movement, cultural influences that are revealed, as well as in her other projects, by surfaces, colours and volumes of seemingly static treatment.
Integration of functions ranging in complex Riesz space and some applications in harmonic analysis
2015
The theory of HenstockâKurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
2015
The D-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2, C) of invertible 2 × 2 matrices with complex entries. It reveals interesting aspects of these representations. The second example is based on a pseudo-bosonic generalization of operator-valued functions of a complex variable which resolves the identity. We show that such a generalization allows one to obtain a quantum pseudo-bosonic version of the complex plane viewed as the canonical phase space and to understand functions of the pseudo-bosonic operators as the quantized versions of functions…
Mostrare l’invisibile: il soffitto trecentesco nascosto del convento di Santa Caterina a Palermo
2022
Digital surveying and representation technologies have been widely used for the visualization of works of art and architecture that no longer exist or have been moved from their original location. These researches share a common feature, that can be resumed by the motto “Display the invisible”, already used in research experiences [Colosi et al. 2015; Gambin et al. 2021]. The purpose of this research is the visualization of a 14th century wooden ceiling, painted by anonymous artists, that covered the hall used for the assembly of the Chapter in the convent of Santa Caterina, at the heart of the historic center of Palermo. The hall was reshaped at the end of the 18th century to serve as a sa…
Differential equations for Feynman integrals beyond multiple polylogarithms
2017
Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feynman integrals which are not expressible in terms of multiple polylogarithms.
Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups
2000
In this paper we study a family of algebraic deformations of regular coadjoint orbits of compact semisimple Lie groups with the Kirillov Poisson bracket. The deformations are restrictions of deformations on the dual of the Lie algebra. We prove that there are non isomorphic deformations in the family. The star products are not differential, unlike the star products considered in other approaches. We make a comparison with the differential star product canonically defined by Kontsevich's map.
Algebra Structures on Hom(C,L)
1999
info:eu-repo/semantics/published
BASIC TWIST QUANTIZATION OF osp(1|2) AND κ-DEFORMATION OF D = 1 SUPERCONFORMAL MECHANICS
2003
The twisting function describing a nonstandard (super-Jordanian) quantum deformation of $osp(1|2)$ is given in explicite closed form. The quantum coproducts and universal R-matrix are presented. The non-uniqueness of the twisting function as well as two real forms of the deformed $osp(1|2)$ superalgebras are considered. One real quantum $osp(1|2)$ superalgebra is interpreted as describing the $\kappa$-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.
Finite size spectrum of SU(N) principal chiral field from discrete Hirota dynamics
2016
Using recently proposed method of discrete Hirota dynamics for integrable (1+1)D quantum field theories on a finite space circle of length L, we derive and test numerically a finite system of nonlinear integral equations for the exact spectrum of energies of SU(N)xSU(N) principal chiral field model as functions of m L, where m is the mass scale. We propose a determinant solution of the underlying Y-system, or Hirota equation, in terms of determinants (Wronskians) of NxN matrices parameterized by N-1 functions of the spectral parameter, with the known analytical properties at finite L. Although the method works in principle for any state, the explicit equations are written for states in the …
Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
2021
Journal of high energy physics 02(2), 112 (2021). doi:10.1007/JHEP02(2021)112