000			04255cam a2200445 i 4500
001			on1426994633
003			OCoLC
005			20240624104330.0
008			240317t20242024riua b 000 0 eng d
020			_a1470469057 _qpaperback
020			_a9781470469054 _qpaperback
035			_a(OCoLC)1426994633
040			_aYDX _beng _erda _cYDX _dYSM _dOCLCO _dEAU _dBUB _dOCLCO _dUNBCA _dOCLCQ _dVGM
066			_c(S
082	0	4	_a512.2 _qOCoLC
100	1		_aLiebeck, M. W. _q(Martin W.), _d1954- _eauthor.
245	1	0	_aMultiplicity-free representations of algebraic groups / _cMartin W. Liebeck, Gary M. Seitz, Donna M. Testerman.
264		1	_aProvidence, R.I. : _bAmerican Mathematical Society, _c2024.
264		4	_c©2024
300			_avii, 268 pages : _billustrations ; _c26 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society , _x0065-9266 ; _vv. 294, no. 1466
500			_a"February 2024, volume 294, number 1466 (third of 5 numbers)."
504			_aIncludes bibliographical references (pages 267-268).
650		0	_aRepresentations of groups.
650		0	_aGroup theory.
650		0	_aAlgebra.
650		6	_aThéorie des groupes.
650		7	_aalgebra. _2aat
700	1		_aSeitz, Gary M., _d1943- _eauthor.
700	1		_aTesterman, Donna M., _d1960- _eauthor.
830		0	_aMemoirs of the American Mathematical Society ; _vv.294, no. 1466.
880	0		_6505-00/(S _aChapter 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.
942			_2ddc _cBK _n0
948			_hNO HOLDINGS IN P5A - 13 OTHER HOLDINGS
999			_c41345 _d41345