A geometric characterization of orthogonal groups for characteristic 2

1976 ◽  
Vol 5 (3) ◽  
pp. 321-346 ◽  
Author(s):  
Georg Günther
Keyword(s):  
Geometric Characterization ◽  
Orthogonal Groups ◽  
Characteristic 2

scholarly journals GALOIS THEORY OF THE CANONICAL THETA STRUCTURE

2011 ◽  
Vol 07 (01) ◽  
pp. 173-202
Author(s):  
ROBERT CARLS
Keyword(s):  
Galois Theory ◽  
Theoretical Foundation ◽  
Abelian Varieties ◽  
Geometric Mean ◽  
Null Point ◽  
Point Counting ◽  
Characteristic 2 ◽  
Theoretic Characterization ◽  
Generalized Arithmetic

In this article, we give a Galois-theoretic characterization of the canonical theta structure. The Galois property of the canonical theta structure translates into certain p-adic theta relations which are satisfied by the canonical theta null point of the canonical lift. As an application, we prove some 2-adic theta identities which describe the set of canonical theta null points of the canonical lifts of ordinary abelian varieties in characteristic 2. The latter theta relations are suitable for explicit canonical lifting. Using the theory of canonical theta null points, we are able to give a theoretical foundation to Mestre's point counting algorithm which is based on the computation of the generalized arithmetic geometric mean sequence.

scholarly journals A characterization of orthogonal groups over GF(2)

1980 ◽  
Vol 62 (1) ◽  
pp. 39-60 ◽  
Author(s):  
Stephen D Smith
Keyword(s):  
Orthogonal Groups

Geometric characterization of additively manufactured polymer derived ceramics

2017 ◽  
Vol 18 ◽  
pp. 95-102 ◽  
Author(s):  
Jacob M. Hundley ◽  
Zak C. Eckel ◽  
Emily Schueller ◽  
Kenneth Cante ◽  
Scott M. Biesboer ◽  
...  
Keyword(s):  
Geometric Characterization ◽  
Polymer Derived Ceramics

A Geometric Characterization of Nonnegative Bands

2004 ◽  
Vol 47 (2) ◽  
pp. 257-263
Author(s):  
Alka Marwaha
Keyword(s):  
Invariant Subspace ◽  
Geometric Structure ◽  
Finite Rank ◽  
Special Kind ◽  
Maximal Rank ◽  
Geometric Characterization ◽  
Idempotent Operators ◽  
Rank One ◽  
Standard Subspace

AbstractA band is a semigroup of idempotent operators. A nonnegative band S in having at least one element of finite rank and with rank (S) > 1 for all S in S is known to have a special kind of common invariant subspace which is termed a standard subspace (defined below).Such bands are called decomposable. Decomposability has helped to understand the structure of nonnegative bands with constant finite rank. In this paper, a geometric characterization of maximal, rank-one, indecomposable nonnegative bands is obtained which facilitates the understanding of their geometric structure.

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