Results 41 to 50 of about 2,499,965 (359)

Combinatorial Hopf algebra structure on packed square matrices [PDF]

open access: yes, 2015
We construct a new bigraded Hopf algebra whose bases are indexed by square matrices with entries in the alphabet $\{0, 1, ..., k\}$, $k \geq 1$, without null rows or columns.
Cheballah, Hayat   +2 more
core   +5 more sources

Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

open access: yesMathematics, 2015
A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
doaj   +1 more source

Extending the Set of Quadratic Exponential Vectors [PDF]

open access: yes, 2008
We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by
Accardi, Luigi   +2 more
core   +2 more sources

Matrix Algebra From a Statistician's Perspective

open access: yes, 1998
Preface. - Matrices. - Submatrices and partitioned matricies. - Linear dependence and independence. - Linear spaces: row and column spaces. - Trace of a (square) matrix. - Geometrical considerations.
D. Harville
semanticscholar   +1 more source

THE HEISENBERG'S TRIDIMENSIONAL GROUP H3

open access: yesPesquimat, 2014
On the basis of [7], we have the necessary theory to study the Heisenberg's group geometry. This paper goal is to carry the whole results to the tridimensional case.
Richard santiago Quispe Rivas
doaj   +1 more source

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

open access: yesJournal of Mathematics, 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

Quasi-polynomials of Capelli. III [PDF]

open access: yesИзвестия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2021
In this paper polynomials of Capelli type (double and quasi-polynomials of Capelli) belonging to a free associative algebra $F\{X\cup Y\}$ considering over an arbitrary field $F$ and generated by two disjoint  countable  sets $X, Y ...
Antonov, Stepan Yuryevich   +1 more
doaj   +1 more source

Generalized fixed point algebras and square-integrable group actions [PDF]

open access: yes, 2000
We analzye Rieffel's construction of generalized fixed point algebras in the setting of group actions on Hilbert modules. Let G be a locally compact group acting on a C*-algebra B. We construct a Hilbert module F over the reduced crossed product of G and
Meyer, Ralf
core   +3 more sources

Sine-square deformation and Möbius quantization of 2D conformal field theory [PDF]

open access: yes, 2016
Motivated by sine-square deformation (SSD) for quantum critical systems in 1+1-dimension, we discuss a Mobius quantization approach to the two-dimensional conformal field theory (CFT), which bridges the conventional radial quantization and the dipolar ...
K. Okunishi
semanticscholar   +1 more source

On algebras of generalized Latin squares [PDF]

open access: yesMathematica Bohemica, 2011
The main result of this paper is the introduction of a notion of a generalized $R$-Latin square, which includes as a special case the standard Latin square, as well as the magic square, and also the double stochastic matrix. Further, the algebra of all generalized Latin squares over a commutative ring with identity is investigated.
openaire   +2 more sources

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