NEW BOUNDS ON THE TORAL RANK WITH APPLICATIONS TO COHOMOLOGICALLY SYMPLECTIC SPACES

2019 ◽  
Vol 25 (2) ◽  
pp. 625-644
Author(s):  
L. ZOLLER
Keyword(s):  
Symplectic Spaces ◽  
Toral Rank

Bounds on subspace codes based on totally isotropic subspace in symplectic spaces and extended symplectic spaces

2019 ◽  
Vol 12 (05) ◽  
pp. 1950069
Author(s):  
Mahdieh Hakimi Poroch
Keyword(s):  
Sphere Packing ◽  
Symplectic Space ◽  
Isotropic Subspace ◽  
Subspace Codes ◽  
Singleton Bound ◽  
Symplectic Spaces ◽  
Isotropic Subspaces ◽  
Totally Isotropic Subspace ◽  
Totally Isotropic Subspaces

In this paper, we propose the Sphere-packing bound, Singleton bound and Gilbert–Varshamov bound on the subspace codes [Formula: see text] based on totally isotropic subspaces in symplectic space [Formula: see text] and on the subspace codes [Formula: see text] based on totally isotropic subspace in extended symplectic space [Formula: see text].

scholarly journals Toral rank one Lie algebras

1988 ◽  
Vol 115 (1) ◽  
pp. 238-250 ◽  
Author(s):  
Georgia Benkart ◽  
J.Marshall Osborn
Keyword(s):  
Lie Algebras ◽  
Rank One ◽  
Toral Rank

Efficient Error-Correcting Pooling Designs Constructed from Pseudo-Symplectic Spaces Over a Finite Field

2010 ◽  
Vol 17 (10) ◽  
pp. 1413-1423 ◽  
Author(s):  
Zengti Li ◽  
Suogang Gao ◽  
Hongjie Du ◽  
Feng Zou ◽  
Weili Wu
Keyword(s):  
Finite Field ◽  
Pooling Designs ◽  
Symplectic Spaces

Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators

2013 ◽  
Vol 20 (03) ◽  
pp. 395-402
Author(s):  
Junjie Huang ◽  
Xiang Guo ◽  
Yonggang Huang ◽  
Alatancang
Keyword(s):  
Explicit Expression ◽  
Generalized Inverse ◽  
Hamiltonian Operator ◽  
Operator Matrix ◽  
Infinite Dimensional ◽  
Symplectic Spaces ◽  
Hamiltonian Operators

In this paper, we deal with the generalized inverse of upper triangular infinite dimensional Hamiltonian operators. Based on the structure operator matrix J in infinite dimensional symplectic spaces, it is shown that the generalized inverse of an infinite dimensional Hamiltonian operator is also Hamiltonian. Further, using the decomposition of spaces, an upper triangular Hamiltonian operator can be written as a new operator matrix of order 3, and then an explicit expression of the generalized inverse is given.

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