Commutative and noncommutative invariant theory
نویسندگان
چکیده
منابع مشابه
Aspects of Gauge Theory on Commutative and Noncommutative Tori
We study aspects of gauge theory on tori which are a consequences of Morita equivalence. In particular we study the behavior of gauge theory on noncommutative tori for arbitrarily close rational values of Θ. For such values of Θ, there are Morita equivalent descriptions in terms of Yang-Mills theories on commutative tori with very different magnetic fluxes and rank. In order for the correlators...
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In this paper, based on recent work [13] 1 , we construct deformed Poincaré SUSY algebra in terms of twisted (Hopf) algebra. By adapting this new interpretation of superPoincaré algrebra as our fundamental symmetry, we can construct Lorentz and Poincaré SUSY invariant quantum field theory on the non(anti)commutative (super)space. The key point is validity of our new twist element that guarantee...
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We initiate a unified, axiomatic study of noncommutative algebras R whose prime spectra are, in a natural way, finite unions of commutative noetherian spectra. Our results illustrate how these commutative spectra can be functorially “sewn together” to form SpecR. In particular, we construct a bimodule-determined functor ModZ → ModR, for a suitable commutative noetherian ring Z, from which there...
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Four-dimensional quantum field theory suffers from infrared and ultraviolet divergences as well as from the divergence of the renormalised perturbation expansion. Despite early suggestions as to modify the space-time structure [1], quantum field theory on non-commutative spaces was studied in details only after Alain Connes developed noncommutative geometry [2]. The first steps were connected t...
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Nagata gave a fundamental sufficient condition on group actions on finitely generated commutative algebras for finite generation of the subalgebra of invariants. In this paper we consider groups acting on noncommutative algebras over a field of characteristic zero. We characterize all the T-ideals of the free associative algebra such that the algebra of invariants in the corresponding relativel...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1990
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-26-2-259-268