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Dual Kappa Poincare Algebra     Dual Kappa Poincare Algebra  Mathematical Physics       font style='font-size:12px;'> 2010/12/27
We show a different modification of Poincare algebra that also preserves Lorentz algebra. The change begins with how boosts affect spacetime in a way similar to how they affect the momenta in kappa Po...
Homology of Lie algebra of supersymmetries     Lie algebra  supersymmetries       font style='font-size:12px;'> 2010/12/24
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare algebra. We discuss in detail the calculation in dimensions D=10 and D=6. Our methods can be a...
Nonlinear extensions of the two-mode squeezed vacuum states (NTMSVS's) are constructed and special cases of these states are discussed. We have constructed the NTMSVS's realization of SU(1,1) Lie alge...
The Poincar´e superalgebra is introduced from a generalization of the Cartan’s triality principle based on the extension of Chevalley product, between semispinor spaces and even subspaces of the...

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