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Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
2014/12/20
Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
N-enlarged Galilei Hopf algebra and its twist deformations
N-enlarged Galilei Hopf algebra Mathematical Physics
2012/5/24
The N-enlarged Galilei Hopf algebra is constructed. Its twist deformations are considered and the corresponding twisted space-times are derived.
Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
(p,q) D=3 Poincare supergravities from Lie algebra expansions
Lie algebra expansions High Energy Physics - Theory
2011/10/8
Abstract: We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriv...
The algebra of local unitary invariants of identical particles
algebra identical particles Quantum Physics
2011/10/8
Abstract: We investigate the properties of the inverse limit of the algebras of local unitary invariant polynomials of quantum systems containing various types of fermionic and/or bosonic particles as...
Notes on Ding-Iohara algebra and AGT conjecture
Ding-Iohara algebra AGT conjecture High Energy Physics Theory
2011/7/26
Notes on Ding-Iohara algebra and AGT conjecture.
Noncommutative spectral geometry, algebra doubling and the seeds of quantization
Noncommutative spectral geometry algebra doubling the seeds of quantization
2011/7/26
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
A new dynamical reflection algebra and related quantum integrable systems
dynamical reflection algebra quantum integrable systems High Energy Physics Theory
2011/7/26
Abstract: We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, f...
Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra
Lie algebra supersymmetries super Poincare Lie algebra High Energy Physics - Theory
2011/7/27
Abstract: We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra. We give complete answers for (non-extended) supersymmetry in all dimens...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations Simple n-Lie Algebra
2010/12/24
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
Extending PT symmetry from Heisenberg algebra to E2 algebra
Extending PT symmetry Heisenberg algebra E2 algebra
2010/10/27
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/10/27
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
On the regularization of the constraints algebra of Quantum Gravity in 2+1 dimensions with non-vanishing cosmological constant
Quantum Gravity cosmological constant 2+1 dimensions
2010/3/18
We use the mathematical framework of loop quantum gravity (LQG) to study the quantization of three dimensional (Riemannian) gravity with positive cosmological constant (Lambda>0). We show that the usu...
Poincare algebra realized in Hamiltonian formalism of the Relativistic Theory of Gravitation
Relativistic Theory of Gravitation Hamiltonian formalism
2010/3/17
We obtain the Poincare group generators by proper choice of arbitrary functions present in the Relativistic Theory of Gravitation (RTG) Hamiltonian. Their Dirac brackets give the Poincare algebra in a...
Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
Cliff ord algebra supersymmetric quantum mechanics deformation quantization Wigner functions Jaynes-Cummings models
2010/4/13
In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal sta...