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Deformation of Towers of Algebras and Quantized Intersection Cardinality Functions (1998)

Gerstenhaber, Murray

Springer

Letters in mathematical physics 43 (1998), S. 87-103

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ISSN: 1573-0530

Keywords: deformation ; Mecke algebra ; quantization ; Mochschild cohomology.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract The inductive limit of a tower of separable algebras is unchanged, up to isomorphism, by consistent deformations but the inductive limit of a corresponding tower of modules may be nontrivially deformed, thereby ‘quantizing’ the limit module. In the case of the inductive limit of the complex group algebras of the symmetric groups and their deformations, the Hecke algebras, this quantization preserves properties of the finite case which disappear in the absence of quantization.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1007474307417

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