Results 41 to 50 of about 2,499,965 (359)
Combinatorial Hopf algebra structure on packed square matrices [PDF]
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
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]
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
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Matrix Algebra From a Statistician's Perspective
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
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
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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
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Quasi-polynomials of Capelli. III [PDF]
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
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Generalized fixed point algebras and square-integrable group actions [PDF]
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]
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]
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