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The paper studies generic commutative and anticommutative algebras of a fixed dimension, their invariants, covariants and algebraic properties (e.g., the structure of subalgebras).
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In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
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We study the multiplicative structure of rings of coinvariants for finite groups.
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Fibonacci manifolds have a hyperbolic structure which may be defined via Fibonacci numbers.
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In this paper we prove that the homogeneous spaceG/K has a structure of a globally symmetric space for every choice ofG andK, especially forG being compact.
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Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
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Differentiable structures on symplectic reductions
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In particular, the induced differentiable structures on the categorical quotientX G are diffeomorphic.
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An example shows that the differentiable structures can indeed be different, even though they are isomorphic.
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Then we apply the theory of Kodaira-Spencer for deformations of complex structures.
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In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
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The aim of this paper is to discuss a construction of a class of linear isomorphisms σ:S(g)→U(g) which commute with the adjoint representation.
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However, there are many examples that do not arise from this construction.
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Using the properties ofn-Hopf algebras we show that certain spaces do not admit the structure of ann-valued group and that certain commutativen-valued groups do not arise by applying then-coset construction to any commutative group.
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We give complete proofs of the K-theoretic construction of the quantized enveloping algebra of affine gl(n) sketched in [GV].
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In this paper, the failure rates are expressed in polynomial configuration.
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A sensitive nicotine sensor based on a molecularly imprinted electropolymer of o-aminophenol is proposed and its configuration and performance are studied in detail.
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Simulations show that LRCS outperforms the coverage configuration protocol and is suitable for various situations.
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Implementing a flexible configuration of the QoS parameter in a distributed computing network has become a problem due to the weak scalability of current approaches.
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Here, the actuation mechanism of the sandwiched-configuration EWOD chips was carefully studied, and the movement of droplets was numerically analyzed by using the computational fluidic software, CFD-ACE+.
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