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THE INTEGRAL TRACE FORM OF CYCLIC EXTENSIONS OF ODD PRIME DEGREE
(Rocky Mt Math Consortium, 2017-01-01)
Let L/Q be a cyclic extension of degree p, where p is an odd unramified prime in L/Q. An explicit description of the integral trace form Tr-L/Q(x(2))|O-L, where O-L is the ring of algebraic integers of L, is given, and an ...
Constructions of Dense Lattices over Number Fields
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2020-04-30)
In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2;3;4;5;6;8 and 12, which are rotated versions of the lattices Λn , for n=2,3,4,5,6,8 and K 12. ...
Directed Abelian algebras and their application to stochastic models
(AMER PHYSICAL SOC, 2008)
With each directed acyclic graph (this includes some D-dimensional lattices) one can associate some Abelian algebras that we call directed Abelian algebras (DAAs). On each site of the graph one attaches a generator of the ...
Teoría de Tannaka sobre Sup-reticuladosTannaka theory over Sup-lattices
(Facultad de Ciencias Exactas y Naturales. Universidad de Buenos Aires, 2015)
Lattice Algebra Approach to Color Image Segmentation
(Journal of Mathematical Imaging and Vision, 2011)
Spinor norm for skew-hermitian forms over quaternion algebras
(Elsevier, 2015)
We complete all local spinor norm computations for quater-nionic skew-hermitian forms over the field Qof rational num-bers. This can be used to compute the number of classes in a genus of skew-hermitian lattices of rank ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting in a Hilbert space of complex functions ...
Lattice multiplication
(Wolfram Demonstration Project, 2013)