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The geometry of elation groups of a finite projective space
geometry elation groups finite projective space
2012/2/29
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups ...
The solution space geometry of random linear equations
solution space geometry random linear equations Data Structures and Algorithms
2011/10/9
Abstract: We consider random systems of linear equations over GF(2) in which every equation binds k variables. We obtain a precise description of the clustering of solutions in such systems. In partic...
Counting SO(9)xSU(2) representations in coordinate independent state space of SU(2) Matrix Theory
Counting SO(9)xSU(2) representations SU(2) Matrix Theory
2010/12/8
We consider decomposition of coordinate independent states into SO(9)×SU(2)representations in SU(2) Matrix theory. To see what and how many representations appear in the decomposition, we compute the ...