Lie theory and special functions.

Format:

Book

Author/Creator:

Miller, Willard.

Series:

Mathematics in science and engineering ; v. 43.

Mathematics in science and engineering ; 43

Language:

English

Subjects (All):

Lie groups.

Functions, Special.

Physical Description:

1 online resource (357 p.)

Place of Publication:

New York : Academic Press, 1968.

Language Note:

English

Summary:

Lie theory and special functions

Contents:

Front Cover; Lie Theory and Special Functions; Copyright Page; Preface; Contents; Chapter 1. Résumé of Lie Theory; 1-1 Local Lie Groups; 1-2 Examples; 1-3 Local Transformation Groups; 1-4 Examples of Local Transformation Groups; Chapter 2. Representations and Realizations of Lie Algebras; 2-1 Representations of Lie Algebras; 2-2 Realizations of Representations; 2-3 Representations of L(O3); 2-4 The Angular Momentum Operators; 2-5 The Lie Algebras G(a, b); 2-6 Representations of G(a, b); 2-7 Realizations of G(a, b) in Two Variables; 2-8 Realizations of G(a, b) in One Variable

Chapter 3. Lie Theory and Bessel Functions3-1 The Representations Q(ω, mo); 3-2 Recursion Relations for the Matrix Elements; 3-3 Realizations of Q(ω, mo) in Two Variables; 3-4 Weisner's Method for Bessel Functions; 3-5 The Real Euclidean Group E3; 3-6 Unitary Representations of Lie Groups; 3-7 Induced Representations of E3; 3-8 The Unitary Representations (p) of E3; 3-9 The Matrix Elements of (p); 3-10 The Infinitesimal Operators of (p); Chapter 4. Lie Theory und Confluent Hypergeometric Functions; 4-1 The Representation R(ω, mo, μ); 4-2 The Representation to ω,μ; 4-3 The Representation

8-2 Cohomology Classes of Realizations

Notes:

Description based upon print version of record.

Includes bibliography.

ISBN:

1-282-28969-1

9786612289699

0-08-095551-7

OCLC:

500927042