Stability in Modules for Classical Lie Algebras

This book PDF is perfect for those who love Mathematics genre, written by Georgia Benkart and published by American Mathematical Soc. which was released on 19 May 1990 with total hardcover pages 165. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Stability in Modules for Classical Lie Algebras books below.

Stability in Modules for Classical Lie Algebras
Author : Georgia Benkart
File Size : 42,6 Mb
Publisher : American Mathematical Soc.
Language : English
Release Date : 19 May 1990
ISBN : 9780821824924
Pages : 165 pages
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Stability in Modules for Classical Lie Algebras by Georgia Benkart Book PDF Summary

During the last century, mathematicians and physicists alike have studied extensively the finite dimensional irreducible representations of complex classical Lie algebras. These studies have led to numerous formulas for computing the dimensions, weights, weight multiplicities, and tensor products of the representations. The dependence of these quantities on the rank of the Lie algebra has been revealed in recent investigations using Schur functions and characters.

Stability in Modules for Classical Lie Algebras

During the last century, mathematicians and physicists alike have studied extensively the finite dimensional irreducible representations of complex classical Lie algebras. These studies have led to numerous formulas for computing the dimensions, weights, weight multiplicities, and tensor products of the representations. The dependence of these quantities on the rank of

Get Book
Stability in Modules for Classical Lie Superalgebras

Download or read online Stability in Modules for Classical Lie Superalgebras written by Chanyoung Lee, published by Unknown which was released on 1992. Get Stability in Modules for Classical Lie Superalgebras Books now! Available in PDF, ePub and Kindle.

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The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St. Petersburg's school of mathematical physics in the 1980s. This book is an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie

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Classical Lie Algebras at Infinity

Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is

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Projective Modules over Lie Algebras of Cartan Type

This monograph focuses on extending theorems for the classical Lie algebras in order to determine the structure and representation theory for Lie algebras of Cartan type. More specifically, Nakano investigates the block theory for the restricted universal enveloping algebras of the Lie algebras of Cartan type. The first section employs

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Over the past 30 years, exciting developments in diverse areas of the theory of Lie algebras and their representations have been observed. The symposium covered topics such as Lie algebras and combinatorics, crystal bases for quantum groups, quantum groups and solvable lattice models, and modular and infinite-dimensional Lie algebras. In this

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Representations and Invariants of the Classical Groups

More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction

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Lie Algebras Graded by the Root Systems BC  r    r geq 2

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

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