Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Representations of Lie algebras and ...
~
Xu, Xiaoping.
Representations of Lie algebras and partial differential equations
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Representations of Lie algebras and partial differential equations/ by Xiaoping Xu.
Author:
Xu, Xiaoping.
Published:
Singapore :Springer Singapore : : 2017.,
Description:
xxxvi, 620 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Lie algebras. -
Online resource:
http://dx.doi.org/10.1007/978-981-10-6391-6
ISBN:
9789811063916
Representations of Lie algebras and partial differential equations
Xu, Xiaoping.
Representations of Lie algebras and partial differential equations
[electronic resource] /by Xiaoping Xu. - Singapore :Springer Singapore :2017. - xxxvi, 620 p. :ill., digital ;24 cm.
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.
ISBN: 9789811063916
Standard No.: 10.1007/978-981-10-6391-6doiSubjects--Topical Terms:
527930
Lie algebras.
LC Class. No.: QA252.3 / .X8 2017
Dewey Class. No.: 512.482
Representations of Lie algebras and partial differential equations
LDR
:02346nam a2200301 a 4500
001
905317
003
DE-He213
005
20180426151839.0
006
m d
007
cr nn 008maaau
008
190308s2017 si s 0 eng d
020
$a
9789811063916
$q
(electronic bk.)
020
$a
9789811063909
$q
(paper)
024
7
$a
10.1007/978-981-10-6391-6
$2
doi
035
$a
978-981-10-6391-6
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA252.3
$b
.X8 2017
072
7
$a
PBF
$2
bicssc
072
7
$a
MAT002000
$2
bisacsh
082
0 4
$a
512.482
$2
23
090
$a
QA252.3
$b
.X8 2017
100
1
$a
Xu, Xiaoping.
$3
1076073
245
1 0
$a
Representations of Lie algebras and partial differential equations
$h
[electronic resource] /
$c
by Xiaoping Xu.
260
$a
Singapore :
$c
2017.
$b
Springer Singapore :
$b
Imprint: Springer,
300
$a
xxxvi, 620 p. :
$b
ill., digital ;
$c
24 cm.
520
$a
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.
650
0
$a
Lie algebras.
$3
527930
650
0
$a
Differential equations, Partial.
$3
527784
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Algebra.
$2
gtt
$3
579870
650
2 4
$a
Partial Differential Equations.
$3
671119
650
2 4
$a
Special Functions.
$3
672152
650
2 4
$a
Algorithms.
$3
527865
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-981-10-6391-6
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login