The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras PDF Download
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Author: Hans Plesner Jakobsen
Publisher: American Mathematical Soc.
ISBN: 0821825933
Category : Mathematics
Languages : en
Pages : 129
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Book Description
This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.
Author: Hans Plesner Jakobsen
Publisher: American Mathematical Soc.
ISBN: 0821825933
Category : Mathematics
Languages : en
Pages : 129
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Book Description
This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.
Author: Takeshi Kawazoe
Publisher: World Scientific
ISBN: 981455443X
Category :
Languages : en
Pages : 256
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Book Description
The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.
Author: Sergio Ferrara
Publisher: Springer Science & Business Media
ISBN: 3642217435
Category : Mathematics
Languages : en
Pages : 279
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Book Description
Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.
Author: I-Chiau Huang
Publisher: American Mathematical Soc.
ISBN: 0821826085
Category : Mathematics
Languages : en
Pages : 73
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Book Description
Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category. Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms are local with finitely generated residue field extensions is constructed.
Author: Grahame Bennett
Publisher: American Mathematical Soc.
ISBN: 0821804367
Category : Mathematics
Languages : en
Pages : 145
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Book Description
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.
Author: Paul S. Muhly
Publisher: American Mathematical Soc.
ISBN: 0821803468
Category : Mathematics
Languages : en
Pages : 69
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Book Description
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR
Author: Peter Cholak
Publisher: American Mathematical Soc.
ISBN: 0821826018
Category : Mathematics
Languages : en
Pages : 166
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Book Description
A version of Harrington's [capital Greek]Delta3-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension Theorem I and the High Extension Theorem II. This is a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice.
Author: Eldar Straume
Publisher: American Mathematical Soc.
ISBN: 082180409X
Category : Mathematics
Languages : en
Pages : 106
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Book Description
The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. By enlarging this simple numerical invariant, but suitably restricted, one gradually increases the complexity of orbit structures of transformation groups. This is a natural program for classical space forms, which traditionally constitute the first canonical family of testing spaces, due to their unique combination of topological simplicity and abundance in varieties of compact differentiable transformation groups.
Author: I. V. Evstigneev
Publisher: American Mathematical Soc.
ISBN: 0821825976
Category : Mathematics
Languages : en
Pages : 113
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Book Description
Various notions of the Markov property relative to a partial ordering have been proposed by both physicists and mathematicians. This work develops techniques for stying Markov fields on partially ordered sets. We introduce random transformations of the index set which preserves the Markov property of the field. These transformations yield new classes of Markov fields starting from relatively simple ones. Examples include a model for crack formation and a model for the distribution of fibres in a composite material.
Author: Vladimir I︠A︡kovlevich Lin
Publisher: American Mathematical Soc.
ISBN: 0821826042
Category : Mathematics
Languages : en
Pages : 90
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Book Description
This work studies equivariant linear second order elliptic operators [italic capital]P on a connected noncompact manifold [italic capital]X with a given action of a group [italic capital]G. The action is assumed to be cocompact, meaning that [italic capitals]GV = [italic capital]X for some compact subset of [italic capital]V of [italic capital]X. The aim is to study the structure of the convex cone of all positive solutions of [italic capital]P[italic]u = 0.
