On Symmetries of Finite Geometries
The isospectral set of the Dirac matrix D=d+d* consists of orthogonal Q for which Q* D Q is an equivalent Dirac matrix. It can serve as the symmetry of a finite geometry G. The symmetry is a subset of the orthogonal group or unitary group and isospectral Lax deformations produce commuting flows d/dt D=[B(g(D)),D] on this symmetry space.
openaire +2 more sources
SPONTANEOUS SYMMETRY BROKEN CONDITION IN (DE)CONSTRUCTING DIMENSIONS FROM NONCOMMUTATIVE GEOMETRY [PDF]
, 2002 Jian S. Dai, Xing-Chang Song
openalex +1 more source
Non-Noether symmetries and their influence on phase space geometry [PDF]
, 2003 George Chavchanidze
openalex +1 more source
Homological mirror symmetry, deformation quantization and noncommutative geometry [PDF]
, 2004 Paul Bressler, Yan Soibelman
openalex +1 more source
Symmetries, Quantum Geometry, and the Fundamental Interactions
International Journal of Theoretical Physics, 2002 14 pages, 4 figures, Revtex. The presentation in the earlier version of Dec.
openaire +4 more sources
Spacetime scale-invariant super-p-brane actions on enlarged superspaces and the geometry of κ-symmetry [PDF]
, 2004 J. A. de Azcárraga +2 more
openalex +1 more source
Book Review: On quaternions and octonions: Their geometry, arithmetic, and symmetry [PDF]
, 2005 John C. Baez
openalex +1 more source
Infinite dimensional geometry of $M_1=Diff_+(S^1)/PSL(2,R)$ and $q_R$--conformal symmetries
, 1998 Denis V. Juriev
openalex +2 more sources
BRST SYMMETRIES IN FREE PARTICLE SYSTEM ON TORIC GEOMETRY [PDF]
, 2005 Soon-Tae Hong
openalex +1 more source
Grid cell symmetry is shaped by environmental geometry
Nature, 2015 J. Krupic +4 more
semanticscholar +1 more source