Multiplicity-free representations of algebraic groups / (Record no. 41345)

MARC details
000 -LEADER
fixed length control field 04255cam a2200445 i 4500
001 - CONTROL NUMBER
control field on1426994633
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240624104330.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240317t20242024riua b 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1470469057
Qualifying information paperback
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470469054
Qualifying information paperback
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1426994633
040 ## - CATALOGING SOURCE
Original cataloging agency YDX
Language of cataloging eng
Description conventions rda
Transcribing agency YDX
Modifying agency YSM
-- OCLCO
-- EAU
-- BUB
-- OCLCO
-- UNBCA
-- OCLCQ
-- VGM
066 ## - CHARACTER SETS PRESENT
Alternate G0 or G1 character set (S
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Assigning agency OCoLC
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Liebeck, M. W.
Fuller form of name (Martin W.),
Dates associated with a name 1954-
Relator term author.
245 10 - TITLE STATEMENT
Title Multiplicity-free representations of algebraic groups /
Statement of responsibility, etc. Martin W. Liebeck, Gary M. Seitz, Donna M. Testerman.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence, R.I. :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2024.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2024
300 ## - PHYSICAL DESCRIPTION
Extent vii, 268 pages :
Other physical details illustrations ;
Dimensions 26 cm
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term unmediated
Media type code n
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term volume
Carrier type code nc
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ,
International Standard Serial Number 0065-9266 ;
Volume/sequential designation v. 294, no. 1466
500 ## - GENERAL NOTE
General note "February 2024, volume 294, number 1466 (third of 5 numbers)."
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 267-268).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Representations of groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Group theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebra.
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Théorie des groupes.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element algebra.
Source of heading or term aat
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Seitz, Gary M.,
Dates associated with a name 1943-
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Testerman, Donna M.,
Dates associated with a name 1960-
Relator term author.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society ;
Volume/sequential designation v.294, no. 1466.
880 0# - ALTERNATE GRAPHIC REPRESENTATION
Linkage 505-00/(S
a Chapter 1. Introduction ; Acknowledgement -- Chapter 2. Notation -- Chapter 3. Level set-up -- Chapter 4. Results from the Literature ; 4.1. Littlewood-Richardson theorem ; 4.2. Decomposing the tensor square ; 4.3. Results of Stembridge and Cavallin -- Chapter 5. Composition Factors In Levels ; 5.1. The main result on levels ; 5.2. Proof of Theorem 5.1.1 ; 5.3. Levels for X=A2 ; 5.4. Y-Levels ; 5.5. Method of Proof - Level Analysis -- Chapter 6. Multiplicity-free families ; 6.1. Restrictions of SLn representations to SOn ; 6.2. Table 1.1 configurations ; 6.2.1. Weights cqi + wi+1 and wi+cwi+1 ; 6.2.2. Weights cw1+wi ; 6.2.3. Weights w1+cwi ; 6.3. Remaining Table 1.1 configurations ; 6.4. Table 1.2 configurations ; 6.6. Table 1.4 configurations ; 6.6.1. Embedding X=A3, δ=w2 ; 6.6.3. Remaining Table 1.4 configurations -- Chapter 7. Initial Lemmas ; 7.1. Summands of Tensor Products ; 7.2. Some non-MF representations ; 7.2.1. Non-MF modules for δ=w2 ; 7.2.2. Non-MF modules for δ=2w1 ; 7.2.3. Non-MF symmetric and wedge squares ; 7.2.4. Low rank cases ; 7.2.5. Tensor products, symmetric and exterior powers ; 7.3. L(v) &#x2265; 2 results -- Chapter 8. The case X=A2 ; 8.1. Case δ = rs with r, s > 0 ; 8.1.1.1 Preliminaries ; 8.1.2. Proof of Theorem 8.1.1. ; 8.2. Case δ = r0 ; 8.2.1. Case r=2 ; 8.2.2. -- Chapter 9. The case δ=rwk with r,k &#x2265; 2 ; 9.1. Case l > 2 ; 9.2. Case l=2. -- Chapter 10. The case δ = rw1, r &#x2265; 2 ; 10.1. The case δ = 2w1 ; 10.1.1. Proof of Theorem 10.1.1. ; 10.2. The case δ = rw1, r &#x2265; 3 ; 10.2.1. Proof of Theorem 10.2.1 -- Chapter 11. The case δ = w1 with i &#x2265; 3 ; 11.1. The case where i < l+2/2 ; 11.2. The case where i = l+2/2 ; 11.2.1. The case where μ1&#x2260;0 ; 11.2.2. The case where μ1=0 ; 11.2.3. The case i=3, l=4 -- Chapter 12. The case δ=w2 ; 12.1. X=A3, δ=w2 ; 12.2. X=A4, δ=w2 ; 12.2.1. The case where μ1=0 ; 12.2.2. The case where μ1&#x2260;0 ; 12.3. X=Al+1 with l&#x2265;4, δ=w2 -- Chapter 13. The case δ=w1+wl+1 -- Chapter 14. Proof of Theorem 1, Part I: VCi(μi) is usually trivial ; 14.1. Proof of Theorem 14.1 ; 14.2. Proof of Theorem 14.2 -- Chapter 15. Proof of Theorem 1, Part II: μ0 is not inner -- Chapter 16. Proof of Theorem 1, Part III: <λ, γ>=0 -- Chapter 17. Proof of Theorem 1, Part IV: Completion ; 17.1. Proof of Theorem 17.1 ; 17.1.1. The case where μ0&#x2260;0, μk=0 ; 17.1.2. The case where μ0&#x2260;0, μk&#x2260;0 ; 17.1.3. The case where μ0=0, μk&#x2260;0 ; 17.2. Proof of Theorem 17.2: case a&#x2265;3 ; 17.3. Proof of Theorem 17.2: case a=2 -- Bibliography.
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948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN)
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