The geometry of orthogonal groups over finite fields
... forms over finite fields. The emphasis is placed on geometric and combinatorial objects, rather than the orthogonal group itself. Our goal is to introduce dual polar spaces as distance-transitive graphs in a self contained way. Prerequisites are linear algebra, and finite fields. In the later part o ...
... forms over finite fields. The emphasis is placed on geometric and combinatorial objects, rather than the orthogonal group itself. Our goal is to introduce dual polar spaces as distance-transitive graphs in a self contained way. Prerequisites are linear algebra, and finite fields. In the later part o ...
Analysis of cumulants
... “An abstract entity represented by an array of components that are functions of co-ordinates such that, under a transformation of co-ordinates, the new components are related to the transformation and to the original components in a definite way.” L.-H. Lim (Applied Math Seminar) ...
... “An abstract entity represented by an array of components that are functions of co-ordinates such that, under a transformation of co-ordinates, the new components are related to the transformation and to the original components in a definite way.” L.-H. Lim (Applied Math Seminar) ...
Linear Algebra
... aim in revising Linear Algebra has been to increase the variety of courses which can easily be taught from it. On one hand, we have structured the chapters, especially the more difficult ones, so that there are several natural stopping points along the way, allowing the instructor in a one-quarter o ...
... aim in revising Linear Algebra has been to increase the variety of courses which can easily be taught from it. On one hand, we have structured the chapters, especially the more difficult ones, so that there are several natural stopping points along the way, allowing the instructor in a one-quarter o ...
Surveys - Math Berkeley
... Ch : K 0 (X) → H ev (X; C) corresponds to a homomorphism 1|1- EFT0 [X] → 0|1- EFT0 [X] given by product with the circle (see ??). This was proven in Fei Han’s thesis [Ha]. Conjecture 3. There are natural ring isomorphisms 2|1- EFTn [X] ∼ = T M F n (X) At this point, we don’t have a map relating thes ...
... Ch : K 0 (X) → H ev (X; C) corresponds to a homomorphism 1|1- EFT0 [X] → 0|1- EFT0 [X] given by product with the circle (see ??). This was proven in Fei Han’s thesis [Ha]. Conjecture 3. There are natural ring isomorphisms 2|1- EFTn [X] ∼ = T M F n (X) At this point, we don’t have a map relating thes ...
Fast Fourier Analysis for SL2 over a Finite Field and
... algorithms for Fourier analysis for this situation. These algorithms depend on certain explicit constructions of the matrix representations for this group. The construction of these representations also enables us to obtain a wealth of numerical data for certain interesting Cayley graphs for SL2 (K ...
... algorithms for Fourier analysis for this situation. These algorithms depend on certain explicit constructions of the matrix representations for this group. The construction of these representations also enables us to obtain a wealth of numerical data for certain interesting Cayley graphs for SL2 (K ...
An Introduction to Algebra and Geometry via Matrix Groups
... theory of vector spaces over arbitrary fields, and bilinear forms on such vector spaces. We can then define the orthogonal and symplectic group with respect to the bilinear forms. The tools we introduce allow us to determine the generators for the general linear group, the orthogonal group, the symp ...
... theory of vector spaces over arbitrary fields, and bilinear forms on such vector spaces. We can then define the orthogonal and symplectic group with respect to the bilinear forms. The tools we introduce allow us to determine the generators for the general linear group, the orthogonal group, the symp ...
