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Almost Commuting Elements in Compact Lie Groups
Language: en
Pages: 153
Authors: Armand Borel
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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This text describes the components of the moduli space of conjugacy classes of commuting pairs and triples of elements in a compact Lie group. This description
Abstract Band Method via Factorization, Positive and Band Extensions of Multivariable Almost Periodic Matrix Functions, and Spectral Estimation
Language: en
Pages: 87
Authors: L. Rodman
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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In this work, versions of an abstract scheme are developed, which are designed to provide a framework for solving a variety of extension problems. The abstract
Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory
Language: en
Pages: 346
Authors: Stephen Berman
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebra
Torsors, Reductive Group Schemes and Extended Affine Lie Algebras
Language: en
Pages: 124
Authors: Philippe Gille
Categories: Mathematics
Type: BOOK - Published: 2013-10-23 - Publisher: American Mathematical Soc.

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The authors give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended o
Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
Language: en
Pages: 175
Authors: Bruce Normansell Allison
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r