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LIVRES NUMÉRIQUES
Representations of Lie Algebras and Partial Differential Equations - XIAOPING XU

Representations of Lie Algebras and Partial Differential Equations

Titre de l'éditeur : Representations of Lie Algebras and Partial Differential Equatio

XIAOPING XU

 
140,54 $
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EN SAVOIR PLUS Résumé

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students.  Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representation category of a simple Lie algebra to that of another simple Lie algebra.

Partial differential equations play a key role in solving certain representation problems. The weight matrices of the minimal and adjoint representations over the simple Lie algebras of types E and F are proved to generate ternary orthogonal linear codes with large minimal distances. New multi-variable hypergeometric functions related to the root systems of simple Lie algebras are introduced in connection with quantum many-body systems in one dimension. In addition, the book identifies certain equivalent combinatorial properties on representation formulas, and the irreducibility of representations is proved directly related to algebraic varieties. The book offers a valuable reference guide for mathematicians and scientists alike. As it is largely self-contained – readers need only a minimal background in calculus and linear algebra – it can also be used as a textbook.


Détails
Prix : 140,54 $
Catégorie :
Auteur :  XIAOPING XU
Titre : Representations of Lie Algebras and Partial Differential Equations
Date de parution : octobre 2017
Éditeur : LIVRES NUMÉRIQUES DIVERS
Sujet : NUL DIVERS
ISBN : 9789811063916 (9811063915)
Référence Renaud-Bray : 2344438
No de produit : 2344438
Droits numériques
Format : EPUB
Disponibilité : Canada, consultez la liste des pays autorisés.
Gestion des droits numériques : Adobe DRM
Entrepôt numérique : NUMILOG
Nombre d'appareils autorisés : 3
Nombre de copier/coller : 0
Impression : 0

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Representations of Lie Algebras and Partial Differential Equations , XU , XIAOPING
© LIVRES NUMÉRIQUES DIVERS 2017