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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...
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...
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...
Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold
Lie-Rinehart algebras Poisson algebras quantization
2010/4/8
The Lie and module (Rinehart) algebraic structure of vector fields of compact support over C infinity functions on a (connected) manifold M define a unique universal non-commutative Poisson * algebra....
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
conformal invariant loop algebra Toda R-matrix
2007/8/15
2001Vol.35No.4pp.435-440DOI:
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
CHAO Liu and YANG Zhan-Ying
Institute of Modern Physics, Northwest University, Xi'a...
A New Loop Algebra and Corresponding Computing
Formula of Constant γ in Quadratic-Form Identity
loop algebra computing formula of constant γ quadratic-form identity
2007/8/15
2007Vol.47No.6pp.981-986DOI:
A New Loop Algebra and Corresponding Computing
Formula of Constant γ in Quadratic-Form Identity
GUO Fu-Kui and DONG Huan-He
School of Inf...
High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra
symmetry algebra high-dimensional model invariant equation
2007/8/15
2001Vol.35No.1pp.7-10DOI:
High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra
LIN Ji,1,2,3 LOU Sen-Yue2 and WANG Ke-Lin1
1 Cen...