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Mathematics and Its Applications Ser.: Algebraic Structures and Operators Calcul

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Item specifics

Condition
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Clean and tight. No names, writings or markings.”
Country/Region of Manufacture
Netherlands
Subject
Algebra, Applied Mathematics
Field of Study
Mathematics
Features
Illustrated
ISBN
9789401065573

About this product

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
9401065578
ISBN-13
9789401065573
eBay Product ID (ePID)
144043741

Product Key Features

Number of Pages
IX, 230 Pages
Language
English
Publication Name
Algebraic Structures and Operators Calculus : Volume III: Representations of Lie Groups
Publication Year
2011
Subject
Group Theory, Functional Analysis, Computer Science, General, Mathematical Analysis
Type
Textbook
Author
P. Feinsilver, René Schott
Subject Area
Mathematics, Computers
Series
Mathematics and Its Applications Ser.
Format
Trade Paperback

Dimensions

Item Weight
14 Oz
Item Length
9.4 in
Item Width
6.3 in

Additional Product Features

Intended Audience
Scholarly & Professional
Series Volume Number
347
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
I. General remarks.- II. Notations.- III. Lie algebras: some basics.- 1 Operator calculus and Appell systems.- I. Boson calculus.- II. Holomorphic canonical calculus.- III. Canonical Appell systems.- 2 Representations of Lie groups.- I. Coordinates on Lie groups.- II. Dual representations.- III. Matrix elements.- IV. Induced representations and homogeneous spaces.- 3 General Appell systems.- I. Convolution and stochastic processes.- II. Stochastic processes on Lie groups.- III. Appell systems on Lie groups.- 4 Canonical systems in several variables.- I. Homogeneous spaces and Cartan decompositions.- II. Induced representation and coherent states.- III. Orthogonal polynomials in several variables.- 5 Algebras with discrete spectrum.- I. Calculus on groups: review of the theory.- II. Finite-difference algebra.- III. q-HW algebra and basic hypergeometric functions.- IV. su2 and Krawtchouk polynomials.- V. e2 and Lommel polynomials.- 6 Nilpotent and solvable algebras.- I. Heisenberg algebras.- II. Type-H Lie algebras.- III. Upper-triangular matrices.- IV. Affine and Euclidean algebras.- 7 Hermitian symmetric spaces.- I. Basic structures.- II. Space of rectangular matrices.- III. Space of skew-symmetric matrices.- IV. Space of symmetric matrices.- 8 Properties of matrix elements.- I. Addition formulas.- II. Recurrences.- III. Quotient representations and summation formulas.- 9 Symbolic computations.- I. Computing the pi-matrices.- II. Adjoint group.- III. Recursive computation of matrix elements.- IV. Symbolic computation of Appell systems.- MAPLE output and procedures.- References.
LC Classification Number
QA351

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foilbooks

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The Friends of the Orcas Island Library is a volunteer non-profit organization raising funds for special programs, books and lectures for our local public library.

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