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019    870421503|a873843567|a889950060 
020    9781107732292|q(electronic book) 
020    1107732298|q(electronic book) 
020    9781107279087|q(electronic book) 
020    1107279089|q(electronic book) 
020    |z9781107627857|q(Paperback) 
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090    QA403|b.C44 2014eb 
100 1  Ceccherini-Silberstein, Tullio,|0https://id.loc.gov/
       authorities/names/nb2008004989|eauthor. 
245 10 Representation theory and harmonic analysis of wreath 
       products of finite groups /|cTullio Ceccherini-Silberstein,
       Fabio Scarabotti, and Filippo Tolli. 
264  1 Cambridge :|bCambridge University Press,|c2014. 
300    1 online resource (xii, 163 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
490 1  London Mathematical Society lecture note series ;|v410 
504    Includes bibliographical references (pages 157-160) and 
       index. 
505 0  |6880-01|a1. General theory: 1.1. Induced representations;
       1.1.1. Definitions; 1.1.2. Transitivity and additivity of 
       induction; 1.1.3. Frobenius character formula; 1.1.4. 
       Induction and restriction; 1.1.5. Induced representations 
       and induced operators; 1.1.6. Frobenius reciprocity; 1.2. 
       Harmonic analysis on a finite homogeneous space; 1.2.1. 
       Frobenius reciprocity for permutation representations; 
       1.2.2. Spherical functions; 1.2.3. The other side of 
       Frobenius reciprocity for permutation representations; 
       1.2.4. Gelfand pairs; 1.3. Clifford theory; 1.3.1. 
       Clifford correspondence; 1.3.2. The little group method; 
       1.3.3. Semidirect products; 1.3.4. Semidirect products 
       with an Abelian normal subgroup; 1.3.5. The affine group 
       over a finite field; 1.3.6. The finite Heisenberg group --
       2. Wreath products of finite groups and their 
       representation theory: 2.1. Basic properties of wreath 
       products of finite groups; 2.1.1. Definitions; 2.1.2. 
       Composition and exponentiation actions; 2.1.3. Iterated 
       wreath products and their actions on rooted trees; 2.1.4. 
       Spherically homogeneous rooted trees and their 
       automorphism group; 2.1.5. The finite ultrametric space; 
       2.2. Two applications of wreath products to group 
       theory2.2.1. The theorem of Kaloujnine and Krasner; 2.2.2.
       Primitivity of the exponentiation action; 2.3. Conjugacy 
       classes of wreath products; 2.3.1. A general description 
       of conjugacy classes; 2.3.2. Conjugacy classes of groups 
       of the form C[sub(2)] wr G; 2.3.3. Conjugacy classes of 
       groups of the form F wr S[sub(n)]; 2.4. Representation 
       theory of wreath products; 2.4.1. The irreducible 
       representations of wreath products; 2.4.2. The character 
       and matrix coefficients of the representation tilde sigma.
505 8  2.5. Representation theory of groups of the form C[sub(2)]
       wr G2.5.1 Representation theory of the finite lamplighter 
       group C[sub(2)] wr C[sub(n)]; 2.5.2. Representation theory
       of the hyperoctahedral group C[sub(2)] wr S[sub(n)]; 2.6. 
       Representation theory of groups of the form F wr 
       S[sub(n)]; 2.6.1. Representation theory of S[sub(m)] wr 
       S[sub(n)] -- 3. Harmonic analysis on some homogeneous 
       spaces of finite wreath products: 3.1. Harmonic analysis 
       on the composition of two permutation representations; 
       3.1.1. Decomposition into irreducible representations; 
       3.1.2. Spherical matrix coefficients; 8 3.2. The 
       generalized Johnson scheme; 3.2.1. The Johnson scheme; 
       3.2.2. The homogeneous space Theta h; 3.2.3. Two special 
       kinds of tensor product; 3.2.4. The decomposition of L 
       (Theta [sub(h)]) into irreducible representations; 3.2.5. 
       The spherical functions; 3.2.6. The homogeneous space V(r,
       s) and the associated Gelfand pair; 3.3. Harmonic analysis
       on exponentiations and on wreath products of permutation 
       representations; 3.3.1. Exponentiation and wreath 
       products; 3.3.2. The case G=C[sub(2)] and Z trivial; 
       3.3.3. The case when L(Y) is multiplicity free; 3.3.4. 
       Exponentiation of finite Gelfand pairs; 3.4. Harmonic 
       analysis on finite lamplighter spaces; 3.4.1. Finite 
       lamplighter spaces; 3.4.2. Spectral analysis of an 
       invariant graphs; 3.4.4. The lamplighter on the complete 
       graph. 
520    This book presents an introduction to the representation 
       theory of wreath products of finite groups and harmonic 
       analysis on the corresponding homogeneous spaces. The 
       reader will find a detailed description of the theory of 
       induced representations and Clifford theory, focusing on a
       general formulation of the little group method. This 
       provides essential tools for the determination of all 
       irreducible representations of wreath products of finite 
       groups. The exposition also includes a detailed harmonic 
       analysis of the finite lamplighter groups, the 
       hyperoctahedral groups, and the wreath product of two 
       symmetric groups. This relies on the generalised Johnson 
       scheme, a new construction of finite Gelfand pairs. The 
       exposition is completely self-contained and accessible to 
       anyone with a basic knowledge of representation theory. 
       Plenty of worked examples and several exercises are 
       provided, making this volume an ideal textbook for 
       graduate students. It also represents a useful reference 
       for more experienced researchers. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Harmonic analysis.|0https://id.loc.gov/authorities/
       subjects/sh85058939 
650  0 Finite groups.|0https://id.loc.gov/authorities/subjects/
       sh85048354 
650  7 Harmonic analysis.|2fast|0https://id.worldcat.org/fast/
       951490 
650  7 Finite groups.|2fast|0https://id.worldcat.org/fast/924908 
655  4 Electronic books. 
700 1  Scarabotti, Fabio,|0https://id.loc.gov/authorities/names/
       nb2008004991|eauthor. 
700 1  Tolli, Filippo,|d1968-|0https://id.loc.gov/authorities/
       names/no96055886|eauthor. 
776 08 |iPrint version:|aCeccherini-Silberstein, Tullio.
       |tRepresentation theory and harmonic analysis of wreath 
       products of finite groups|z9781107627857|w(DLC)  
       2013024946|w(OCoLC)853113607 
830  0 London Mathematical Society lecture note series ;|0https:/
       /id.loc.gov/authorities/names/n42015587|v410. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=685305|zOnline eBook via EBSCO. Access 
       restricted to current Rider University students, faculty, 
       and staff. 
856 42 |3Instructions for reading/downloading the EBSCO version 
       of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 
880 00 |6505-01/(S|gMachine generated contents note:|g1.|tGeneral
       theory --|g1.1.|tInduced representations --|g1.1.1.
       |tDefinitions --|g1.1.2.|tTransitivity and additivity of 
       induction --|g1.1.3.|tFrobenius character formula --
       |g1.1.4.|tInduction and restriction --|g1.1.5.|tInduced 
       representations and induced operators --|g1.1.6.
       |tFrobenius reciprocity --|g1.2.|tHarmonic analysis on a 
       finite homogeneous space --|g1.2.1.|tFrobenius reciprocity
       for permutation representations --|g1.2.2.|tSpherical 
       functions --|g1.2.3.|tother side of Frobenius reciprocity 
       for permutation representations --|g1.2.4.|tGelfand pairs 
       --|g1.3.|tClifford theory --|g1.3.1.|tClifford 
       correspondence --|g1.3.2.|tlittle group method --|g1.3.3.
       |tSemidirect products --|g1.3.4.|tSemidirect products with
       an Abelian normal subgroup --|g1.3.5.|taffine group over a
       finite field --|g1.3.6.|tfinite Heisenberg group --|g2.
       |tWreath products of finite groups and their 
       representation theory --|g2.1.|tBasic properties of wreath
       products of finite groups --|g2.1.1.|tDefinitions --
       |g2.1.2.|tComposition and exponentiation actions --
       |g2.1.3.|tIterated wreath products and their actions on 
       rooted trees --|g2.1.4.|tSpherically homogeneous rooted 
       trees and their automorphism group --|g2.1.5.|tfinite 
       ultrametric space --|g2.2.|tTwo applications of wreath 
       products to group theory --|g2.2.1.|ttheorem of Kaloujnine
       and Krasner --|g2.2.2.|tPrimitivity of the exponentiation 
       action --|g2.3.|tConjugacy classes of wreath products --
       |g2.3.1.|tgeneral description of conjugacy classes --
       |g2.3.2.|tConjugacy classes of groups of the form C2 G --
       |g2.3.3.|tConjugacy classes of groups of the form F Sn --
       |g2.4.|tRepresentation theory of wreath products --
       |g2.4.1.|tirreducible representations of wreath products -
       -|g2.4.2.|tcharacter and matrix coefficients of the 
       representation σ --|g2.5.|tRepresentation theory of groups
       of the form C2 G --|g2.5.1.|tRepresentation theory of the 
       finite lamplighter group C2 Cn --|g2.5.2.|tRepresentation 
       theory of the hyperoctahedral group C2 Sn --|g2.6.
       |tRepresentation theory of groups of the form F Sn --
       |g2.6.1.|tRepresentation theory of Sm Sn --|g3.|tHarmonic 
       analysis on some homogeneous spaces of finite wreath 
       products --|g3.1.|tHarmonic analysis on the composition of
       two permutation representations --|g3.1.1.|tDecomposition 
       into irreducible representations --|g3.1.2.|tSpherical 
       matrix coefficients --|g3.2.|tgeneralized Johnson scheme -
       -|g3.2.1.|tJohnson scheme --|g3.2.2.|thomogeneous space h 
       --|g3.2.3.|tTwo special kinds of tensor product --|g3.2.4.
       |tdecomposition of L(h) into irreducible representations -
       -|g3.2.5.|tspherical functions --|g3.2.6.|thomogeneous 
       space V(r, s) and the associated Gelfand pair --|g3.3.
       |tHarmonic analysis on exponentiations and on wreath 
       products of permutation representations --|g3.3.1.
       |tExponentiation and wreath products --|g3.3.2.|tcase G = 
       C2 and Z trivial --|g3.3.3.|tcase when L(Y) is 
       multiplicity free --|g3.3.4.|tExponentiation of finite 
       Gelfand pairs --|g3.4.|tHarmonic analysis on finite 
       lamplighter spaces --|g3.4.1.|tFinite lamplighter spaces -
       -|g3.4.2.|tSpectral analysis of an invariant operator --
       |g3.4.3.|tSpectral analysis of lamplighter graphs --
       |g3.4.4.|tlamplighter on the complete graph. 
901    MARCIVE 20231220 
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994    92|bRID