skip to content
Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups Preview this item
ClosePreview this item
Checking...

Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups

Author: Philip Feinsilver; Rene Schott
Publisher: Dordrecht : Springer Netherlands, 1996.
Series: Mathematics and Its Applications ;, 347.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
Summary:
This is the last of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. <br/> This third volume - Representations of Lie Groups - answers some basic questions, like 'how can a Lie  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Philip Feinsilver; Rene Schott
ISBN: 9789400901575 9400901577 9789401065573 9401065578
OCLC Number: 840303507
Description: 1 online resource (240 pages).
Contents: 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.
Series Title: Mathematics and Its Applications ;, 347.
Responsibility: by Philip Feinsilver, René Schott.

Abstract:

This is the last of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. <br/> This third volume - Representations of Lie Groups - answers some basic questions, like 'how can a Lie algebra given in matrix terms, or by prescribed commutation relations be realised so as to give an idea of what it 'looks like'?' A concrete theory is presented with emphasis on techniques suitable for efficient symbolic computing. Another question is 'how do classical mathematical constructs interact with Lie structures?' Here stochastic processes are taken as an example. The volume concludes with a section on output of the MAPLE program, which is available from Kluwer Academic Publishers on the Internet. <br/> Audience : This book is intended for pure and applied mathematicians and theoretical computer scientists. It is suitable for self study by researchers, as well as being appropriate as a text for a course or advanced seminar.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/840303507> # Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "840303507" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/4162989176#Place/dordrecht> ; # Dordrecht
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
   rdfs:comment "Unknown 'gen' value: bdt" ;
   schema:about <http://id.worldcat.org/fast/936132> ; # Functions, Special
   schema:about <http://dewey.info/class/512.55/e20/> ;
   schema:about <http://id.worldcat.org/fast/804885> ; # Algebra
   schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
   schema:about <http://id.worldcat.org/fast/1046419> ; # Operator theory
   schema:about <http://id.worldcat.org/fast/973149> ; # Information theory
   schema:about <http://id.worldcat.org/fast/975517> ; # Integral transforms
   schema:about <http://id.worldcat.org/fast/872451> ; # Computer science
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/47094525> ; # Rene Schott
   schema:creator <http://viaf.org/viaf/76408210> ; # Philip Feinsilver
   schema:datePublished "1996" ;
   schema:description "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."@en ;
   schema:description "This is the last of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science.
This third volume - Representations of Lie Groups - answers some basic questions, like 'how can a Lie algebra given in matrix terms, or by prescribed commutation relations be realised so as to give an idea of what it 'looks like'?' A concrete theory is presented with emphasis on techniques suitable for efficient symbolic computing. Another question is 'how do classical mathematical constructs interact with Lie structures?' Here stochastic processes are taken as an example. The volume concludes with a section on output of the MAPLE program, which is available from Kluwer Academic Publishers on the Internet.
Audience : This book is intended for pure and applied mathematicians and theoretical computer scientists. It is suitable for self study by researchers, as well as being appropriate as a text for a course or advanced seminar.
"@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/4162989176> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/4162989176#Series/mathematics_and_its_applications> ; # Mathematics and Its Applications ; ;
   schema:isSimilarTo <http://worldcat.org/entity/work/data/4162989176#CreativeWork/> ;
   schema:name "Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups"@en ;
   schema:productID "840303507" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/840303507#PublicationEvent/dordrecht_springer_netherlands_1996> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/4162989176#Agent/springer_netherlands> ; # Springer Netherlands
   schema:url <http://dx.doi.org/10.1007/978-94-009-0157-5> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3102765> ;
   schema:url <http://link.springer.com/10.1007/978-94-009-0157-5> ;
   schema:workExample <http://worldcat.org/isbn/9789400901575> ;
   schema:workExample <http://worldcat.org/isbn/9789401065573> ;
   schema:workExample <http://dx.doi.org/10.1007/978-94-009-0157-5> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/840303507> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4162989176#Agent/springer_netherlands> # Springer Netherlands
    a bgn:Agent ;
   schema:name "Springer Netherlands" ;
    .

<http://experiment.worldcat.org/entity/work/data/4162989176#Series/mathematics_and_its_applications> # Mathematics and Its Applications ; ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/840303507> ; # Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups
   schema:name "Mathematics and Its Applications ; ;" ;
   schema:name "Mathematics and Its Applications ;" ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
   schema:name "Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1046419> # Operator theory
    a schema:Intangible ;
   schema:name "Operator theory"@en ;
    .

<http://id.worldcat.org/fast/804885> # Algebra
    a schema:Intangible ;
   schema:name "Algebra"@en ;
    .

<http://id.worldcat.org/fast/872451> # Computer science
    a schema:Intangible ;
   schema:name "Computer science"@en ;
    .

<http://id.worldcat.org/fast/936132> # Functions, Special
    a schema:Intangible ;
   schema:name "Functions, Special"@en ;
    .

<http://id.worldcat.org/fast/973149> # Information theory
    a schema:Intangible ;
   schema:name "Information theory"@en ;
    .

<http://id.worldcat.org/fast/975517> # Integral transforms
    a schema:Intangible ;
   schema:name "Integral transforms"@en ;
    .

<http://link.springer.com/10.1007/978-94-009-0157-5>
   rdfs:comment "from Springer" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://viaf.org/viaf/47094525> # Rene Schott
    a schema:Person ;
   schema:familyName "Schott" ;
   schema:givenName "Rene" ;
   schema:name "Rene Schott" ;
    .

<http://viaf.org/viaf/76408210> # Philip Feinsilver
    a schema:Person ;
   schema:familyName "Feinsilver" ;
   schema:givenName "Philip" ;
   schema:name "Philip Feinsilver" ;
    .

<http://worldcat.org/entity/work/data/4162989176#CreativeWork/>
    a schema:CreativeWork ;
   schema:description "Printed edition:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/840303507> ; # Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups
    .

<http://worldcat.org/isbn/9789400901575>
    a schema:ProductModel ;
   schema:isbn "9400901577" ;
   schema:isbn "9789400901575" ;
    .

<http://worldcat.org/isbn/9789401065573>
    a schema:ProductModel ;
   schema:isbn "9401065578" ;
   schema:isbn "9789401065573" ;
    .

<http://www.worldcat.org/title/-/oclc/840303507>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/840303507> ; # Algebraic Structures and Operator Calculus : Volume III: Representations of Lie Groups
   schema:dateModified "2017-12-23" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.