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Representations of Lie algebras and partial differential equations

Author: Xiaoping Xu, (Mathematician)
Publisher: Singapore : Springer, 2017.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)994640383
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Xiaoping Xu, (Mathematician)
ISBN: 9789811063916 9811063915
OCLC Number: 1006502735
Description: 1 online resource.
Contents: Preface.- Introduction.- I Fundament of Lie Algebras.- Preliminary of Lie Algebras.- Semisimple Lie Algebras.- Root Systems.- Isomorphisms, Conjugacy and Exceptional Types.- Highest-Weight Representation Theory.- II Explicit Representations.- Representations of Special Linear Algebras.- Representations of Even Orthogonal Lie Algebras --
Representations of Odd Orthogonal Lie Algebras --
Representations of Symplectic Lie Algebras --
Representations of G 2 and F 4 --
Representations of E6 --
Representations of E --
III Related Topics --
Oscillator Representations of gl(n
Responsibility: Xiaoping Xu.

Abstract:

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic  Read more...

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