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Chỉ số ISBN:	3-540-10258-2
Ngôn ngữ:	eng
Ký hiệu phân loại:	20GR
Tác giả:	Green, J. A
Nhan đề:	Polynomial representations of GLn
Xuất bản, phát hành:	H : Berlin-New York , 1980
Mô tả vật lý:	118 ; 24 cm
Tài liệu chủ:	Lecture Notes in Mathematics, Vol.830

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  020	##	$a3-540-10258-2
  024	1#	$a83j:20003
  041	##	$aeng
  084	##	$a20GR
  090	##	$cLv1612
  100	1#	$aGreen, J. A.
  245	##	$aPolynomial representations of GLn
  260	##	$aH:$bBerlin-New York,$c1980
  300	##	$a118;$c24 cm
  505	0#	$aChapter 1. tIntroductionChapter 2.tPolynomial representations of GL_n (K): The Schur algebra2.1tNotation, etc.2.2tThe categories M_K (n), M_K (n, r)2.3tThe Schur algebra S_K (n,r)2.4 tThe map e:Kgamma rightarow S_K(n,r)2.5tModular theory2.6tThe module E^(otimes r)2.7tContravariant duality2.8tA_K (n,r) as Kgamma-bimoduleChapter 3.tWeights and characters3.1tWeights3.2tWeight spaces3.3tSome properties of weight spaces3.4tCharacters3.5tIrreducible modules in M_K(n,r)Chapter 4.tThe modules D_(lambda,K)4.1tPreamble4.2tlambda-tableaux4.3tBideterminants4.4 tDefinition of D_(lambda,K)4.5tThe basis theorem for D_(lambda,K)4.6tThe Carter-Lusztig lemma4.7tSome consequences of the basis theorem4.8tJames's construction of D_(lambda,K)Chapter 5. tThe Carter-Lusztig modules V_(lambda,K)5.1tDefinition of V_(lambda,K)5.2tV_(lambda,K) is Carter-Lusztig's Weyl module5.3tThe Carter-Lusztig basis for V_(lambda,K)5.4tSome consequences of the basis theorem5.5tContravariant forms on V_(lambda,K)5.6tZ-forms of V_(lambda,Q)Chapter 6.tRepresentation theory of the symmetric group6.1tThe functor f;M_K(n,r) rightarrow mod KG(r)(r =< n)6.2tGeneral theory of the functor f:mod S rightarrow mod eSe6.3tApplication 1. Specht modules and their duals6.4tApplication II. Irreducible KG (r) -modules, char K = p6.5tApplication III. The functor M_K(N,r)rightarrow M_K(n,r) (N>=n)6.6tApplication IV. Some theorems on decomposition numbersBibliographyIndex
  773	0#	$tLecture Notes in Mathematics, Vol.830
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  927	##	Sách, chuyên khảo, tuyển tập

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