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differential algebra
In the paper conditions are found under which the A∞-structure on the homology of a differential algebra degenerates.
      
A symbolic computation method to decide whether the solutions to the system of linear partial differential equation is complele via using differential algebra and characteristic set is presented.
      
Elimination of algorithmic quantifiers for ordered differential algebra
      
This is done by re-expressing the exterior algebra along the gauge orbits as a free differential algebra containing generators of higher degree, which are identified with the ghosts of ghosts.
      
Realization ofUq(so(N)) within the differential algebra onRqN
      
In this way, higher order maps are constructed which combine to form an sh Lie algebra on the graded differential algebra of horizontal forms.
      
The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme.
      
The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined.
      
Just like the usual Weil algebra WG=S(?*)?∧?*, ?G carries the structure of an acyclic, locally free G-differential algebra and can be used to define equivariant cohomology ?G(B) for any G-differential algebra B.
      
For the trivial G-differential algebra B=?, this reduces to the Duflo isomorphism S(?)G?U(?)G between the ring of invariant polynomials and the ring of Casimir elements.
      
Structural identifiability analysis of some highly structured families of statespace models using differential algebra
      
Lie coalgebra equips an exterior algebra (algebra of fermions) with a structure of a differential algebra.
      
In similar way we equip an algebra of quantum fermions (quantized exterior algebra) with a structure of a differential algebra.
      
We then introduce the notion of gradedq-differential algebra and describe some examples.
      
A differential algebra of the extended three-dimensional quantum space is introduced and its Hopf algebra structure is explicitly given.
      
Our construction of a q-analog of exterior calculus is based on a generalized Clifford algebra with four generators and on a graded q-differential algebra.
      
We construct an associative differential algebra on a two-parameter quantum plane associated with a nilpotent endomorphism d in the two cases d2 = 0 and d3 = 0 (d2 ≠ 0).
      
In this paper we develop a technique of working with graded differential algebra models of solvmanifolds, overcoming the main difficulty arising from the 'non-nilpotency' of the corresponding Mostow fibrations.
      
We also discuss the generalization of the notion of graded differential algebra in this context.
      
Differential algebra permits the generalization of several features of symplectic formalism to mechanics with perfect nonholonomic constraints.
      
 

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