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# π Bose Algebras: The Complex and Real Wave Representations by Torben T. Nielsen (auth.) β download pdf

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The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. The well-known complex and real wave representations appear here as natural consequences of the basic mathematical structure - a mathematician familiar with category theory will regard these representations as functors. Operators generated by creations and annihilations in a given Bose algebra are shown to give rise to a new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The book will be useful to mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigrous Bose formalism.

- Series:
**Lecture Notes in Mathematics 1472** - Author:
**Torben T. Nielsen (auth.)** - Year:
**1991** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**0-387-54041-4,3540540415**

- File size:
**2 845 415** - Format:
**pdf**

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This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hec...

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This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two in...

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About 40% of central nervous system synapses use glutamate as the neurotransmitter. Over-stimulation of glutamate receptors produces neuronal injury or death by excitotoxicity, which is closely associated with neurochemical and neuropathological changes i...

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