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Algebra

Selected Works

2007

Articles 1 - 4 of 4

Full-Text Articles in Mathematics

On The Gauge Equivalence Of Twisted Quantum Doubles Of Elementary Abelian And Extra-Special 2-Groups, Christopher Goff, Geoffrey Mason, Siu-Hung Ng May 2007

On The Gauge Equivalence Of Twisted Quantum Doubles Of Elementary Abelian And Extra-Special 2-Groups, Christopher Goff, Geoffrey Mason, Siu-Hung Ng

Christopher Goff

We establish braided tensor equivalences among module categories over the twisted quantum double of a finite group defined by an extension of a group H by an abelian group, with 3-cocycle inflated from a 3-cocycle on H. We also prove that the canonical ribbon structure of the module category of any twisted quantum double of a finite group is preserved by braided tensor equivalences. We give two main applications: first, if G is an extra-special 2-group of width at least 2, we show that the quantum double of G twisted by a 3-cocycle w is gauge equivalent to a twisted …

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On The Eigenvalues Of Some Tridiagonal Matrices, Carlos Fonseca Jan 2007

On The Eigenvalues Of Some Tridiagonal Matrices, Carlos Fonseca

Carlos Fonseca

No abstract provided.

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Closure Under Transfinite Extensions, Edgar E. Enochs, Alina Iacob, Overtoun Jenda Jan 2007

Closure Under Transfinite Extensions, Edgar E. Enochs, Alina Iacob, Overtoun Jenda

Alina Iacob

The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example in Quillen’s theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions

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Closure Under Transfinite Extensions, Edgar E. Enochs, Alina Iacob, Overtoun Jenda Jan 2007

Closure Under Transfinite Extensions, Edgar E. Enochs, Alina Iacob, Overtoun Jenda

Alina Iacob

The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example, in Quillen's theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions.

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