標(biāo)題: Titlebook: Basic Theory of Algebraic Groups and Lie Algebras; Gerhard P. Hochschild Textbook 1981 Springer-Verlag New York Inc. 1981 Algebraische Gru [打印本頁(yè)] 作者: introspective 時(shí)間: 2025-3-21 16:47
書目名稱Basic Theory of Algebraic Groups and Lie Algebras影響因子(影響力)
書目名稱Basic Theory of Algebraic Groups and Lie Algebras影響因子(影響力)學(xué)科排名
書目名稱Basic Theory of Algebraic Groups and Lie Algebras網(wǎng)絡(luò)公開度
書目名稱Basic Theory of Algebraic Groups and Lie Algebras網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Basic Theory of Algebraic Groups and Lie Algebras被引頻次
書目名稱Basic Theory of Algebraic Groups and Lie Algebras被引頻次學(xué)科排名
書目名稱Basic Theory of Algebraic Groups and Lie Algebras年度引用
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書目名稱Basic Theory of Algebraic Groups and Lie Algebras讀者反饋
書目名稱Basic Theory of Algebraic Groups and Lie Algebras讀者反饋學(xué)科排名
作者: idiopathic 時(shí)間: 2025-3-21 20:21
Affine Algebraic Sets and Groups, in an algebraic group. The main result of Section 2 is the fact that algebraic subgroups are determined by their semi-invariants in the algebra of polynomial functions of the containing group. Section 3 contains the fundamental results on homomorphisms from commutative algebras to the base field, c作者: biosphere 時(shí)間: 2025-3-22 02:50 作者: Aspiration 時(shí)間: 2025-3-22 06:26
Solvable Groups,ically closed and that the group is irreducible. In the presence of these assumptions, the solvable groups are characterized by the property that their simple polynomial modules are 1-dimensional. This is the Lie-Kolehin Theorem, given here as Theorem 1.1.作者: armistice 時(shí)間: 2025-3-22 12:36 作者: 報(bào)復(fù) 時(shí)間: 2025-3-22 13:00 作者: Annotate 時(shí)間: 2025-3-22 20:30
Morphisms of Varieties and Dimension,algebra than has been used up to now. Thus, Section 1 establishes Noether’s Normalization Theorem, which is used for reducing some of the required ideal theoretical considerations to the situation of an ordinary polynomial algebra. The remaining results of Section 1 concern the connections between t作者: impale 時(shí)間: 2025-3-22 23:16
Coset Varieties,ver an algebraically closed field ., and . is an algebraic subgroup of .. The main task for this chapter is the construction of an appropriate variety structure on ./.. In Section 1, it appears that [.(.)]. is a suitable candidate for the field .(./.) of rational functions. Starting with this field,作者: SCORE 時(shí)間: 2025-3-23 03:48
Borel Subgroups,s. This theory is based on certain families of subgroups, such as toroids and ., i.e., irreducible maximal solvable subgroups. To some extent, the consideration of Borel subgroups reduces the structure theory to that of solvable groups.作者: CYT 時(shí)間: 2025-3-23 08:44 作者: predict 時(shí)間: 2025-3-23 11:31
The Universal Enveloping Algebra,he category of Lie algebra modules as a category of modules for an associative algebra. This becomes more than an analogy when the universal enveloping algebra is viewed with its full Hopf algebra structure. By dualization, one obtains a commutative Hopf algebra which, in the case where the Lie alge作者: hankering 時(shí)間: 2025-3-23 14:29
Semisimple Lie Algebras,is a finite-dimensional semisimple Lie algebra over a field of characteristic 0, then the continuous dual .(.)’ of the universal enveloping algebra is finitely generated as an algebra. This will be used in the final chapter for constructing the “simply connected” affine algebraic group with Lie alge作者: aspect 時(shí)間: 2025-3-23 20:35 作者: FOR 時(shí)間: 2025-3-24 01:21
R. Leitsmann,F. Bechstedt,F. Ortmann(.) fully, under the assumption that the base field be of characteristic 0. This assumption is retained in Section 3, which is devoted to reducing, as far as is possible in general, the representation theory of an algebraic group to that of its Lie algebra.作者: AV-node 時(shí)間: 2025-3-24 04:54
Ping Wang,Jochen Fr?hlich,Ulrich Maasal theoretical considerations to the situation of an ordinary polynomial algebra. The remaining results of Section 1 concern the connections between the dimensions of irreducible closed subvarieties of irreducible affine varieties and the generation of their annihilating ideals.作者: excursion 時(shí)間: 2025-3-24 09:42
Ping Wang,Jochen Fr?hlich,Ulrich Maas structure on ./.. In Section 1, it appears that [.(.)]. is a suitable candidate for the field .(./.) of rational functions. Starting with this field, Section 2 provides an imbedding of ./. as an open irreducible subset of a projective variety, and shows that the resulting variety structure of ./. has all of the desirable properties.作者: BADGE 時(shí)間: 2025-3-24 11:13
https://doi.org/10.1007/978-3-642-15748-6 finitely generated as an algebra. This will be used in the final chapter for constructing the “simply connected” affine algebraic group with Lie algebra .. The required finite generation of .(.)’ is obtained from the classification of the finite-dimensional .-modules by the theory of weights.作者: agnostic 時(shí)間: 2025-3-24 18:16 作者: 弄皺 時(shí)間: 2025-3-24 22:14
Morphisms of Varieties and Dimension,al theoretical considerations to the situation of an ordinary polynomial algebra. The remaining results of Section 1 concern the connections between the dimensions of irreducible closed subvarieties of irreducible affine varieties and the generation of their annihilating ideals.作者: champaign 時(shí)間: 2025-3-25 01:44 作者: 否認(rèn) 時(shí)間: 2025-3-25 03:48 作者: 線 時(shí)間: 2025-3-25 07:37
Affine Algebraic Sets and Groups,ulminating in Hilbert’s Nullstellensatz. Section 4 applies this to yield an important tool theorem about polynomial maps between algebraic groups, and then establishes the principal general result concerning factor groups of algebraic groups.作者: 節(jié)約 時(shí)間: 2025-3-25 13:39 作者: Decline 時(shí)間: 2025-3-25 18:20
Textbook 1981y, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus an ideally suitable framework for exhibiting basic algebra in action. To do that is the principal concern of this text. Accordingly, its emphasis is on developing the major general mathematical t作者: Foam-Cells 時(shí)間: 2025-3-25 20:08 作者: STRIA 時(shí)間: 2025-3-26 00:53 作者: gospel 時(shí)間: 2025-3-26 08:13 作者: UTTER 時(shí)間: 2025-3-26 11:57
Textbook 1981ation of the content and organisation of this book. Each chapter begins with a brief announcement of its results and ends with a few notes ranging from supplementary results, amplifications of proofs, examples and counter-examples through exercises to references. The references are intended to be me作者: 多樣 時(shí)間: 2025-3-26 14:58 作者: Grievance 時(shí)間: 2025-3-26 20:21
The QCD Phase Diagram from the Lattice in an algebraic group. The main result of Section 2 is the fact that algebraic subgroups are determined by their semi-invariants in the algebra of polynomial functions of the containing group. Section 3 contains the fundamental results on homomorphisms from commutative algebras to the base field, c作者: Peak-Bone-Mass 時(shí)間: 2025-3-26 21:26
R. Leitsmann,F. Bechstedt,F. Ortmanneld-theoretical preparations. Section 2 develops the connections between the algebraic subgroups of an algebraic group . and the sub Lie algebras of .(.) fully, under the assumption that the base field be of characteristic 0. This assumption is retained in Section 3, which is devoted to reducing, as作者: 全部逛商店 時(shí)間: 2025-3-27 02:23
R. Leitsmann,F. Bechstedt,F. Ortmannically closed and that the group is irreducible. In the presence of these assumptions, the solvable groups are characterized by the property that their simple polynomial modules are 1-dimensional. This is the Lie-Kolehin Theorem, given here as Theorem 1.1.作者: instructive 時(shí)間: 2025-3-27 07:48 作者: 貿(mào)易 時(shí)間: 2025-3-27 10:41
Conductance of Correlated Nanostructurese, equipped with a superstructure of functions. Section 1 introduces pre-varieties, a preliminary notion slightly more general than that of a variety, which is convenient for developing the basic technical results concerning varieties. Section 2 is devoted to products of prevarieties and the notion 作者: 尖酸一點(diǎn) 時(shí)間: 2025-3-27 17:01
Ping Wang,Jochen Fr?hlich,Ulrich Maasalgebra than has been used up to now. Thus, Section 1 establishes Noether’s Normalization Theorem, which is used for reducing some of the required ideal theoretical considerations to the situation of an ordinary polynomial algebra. The remaining results of Section 1 concern the connections between t作者: 鐵砧 時(shí)間: 2025-3-27 20:51
Ping Wang,Jochen Fr?hlich,Ulrich Maasver an algebraically closed field ., and . is an algebraic subgroup of .. The main task for this chapter is the construction of an appropriate variety structure on ./.. In Section 1, it appears that [.(.)]. is a suitable candidate for the field .(./.) of rational functions. Starting with this field,作者: 一大群 時(shí)間: 2025-3-27 22:06 作者: PRISE 時(shí)間: 2025-3-28 02:52 作者: 必死 時(shí)間: 2025-3-28 08:42 作者: 無(wú)瑕疵 時(shí)間: 2025-3-28 12:28 作者: affluent 時(shí)間: 2025-3-28 16:45
Graduate Texts in Mathematicshttp://image.papertrans.cn/b/image/181178.jpg作者: lipids 時(shí)間: 2025-3-28 22:12
J. A. Denev,J. Fr?hlich,H. BockhornHere, we introduce some concepts and techniques that could be described as the differential calculus of algebra and group theory. As in analysis, this is a tool for linearizing problems.作者: Hypomania 時(shí)間: 2025-3-28 23:49
R. Leitsmann,F. Bechstedt,F. OrtmannSection 1 is devoted to the generalities concerning simple and semisimple modules over a ring, and to the theory of a single linear endomorphism. The main result from this second area is the multiplicative . of a linear automorphism, which plays an important role in the structure theory of algebraic groups.作者: AFFIX 時(shí)間: 2025-3-29 06:29
https://doi.org/10.1007/978-3-540-88303-6This chapter establishes fundamental results concerning Lie algebras over fields of characteristic 0. The principal notions involved are semisimplicity, solvability and nilpotency.作者: 博識(shí) 時(shí)間: 2025-3-29 08:56 作者: vasculitis 時(shí)間: 2025-3-29 14:38
Ping Wang,Jochen Fr?hlich,Ulrich MaasThe theme of this chapter is the use of Galois theory for extending the structure theory of algebraic groups. The applicability of Galois theory stems from the fact that solvable algebraic groups are made up from the additive and multiplicative groups of the base field, and Section 1 provides the technical preparations for exploiting this.作者: SOB 時(shí)間: 2025-3-29 16:39 作者: erythema 時(shí)間: 2025-3-29 19:46
Derivations and Lie Algebras,Here, we introduce some concepts and techniques that could be described as the differential calculus of algebra and group theory. As in analysis, this is a tool for linearizing problems.作者: 平靜生活 時(shí)間: 2025-3-30 00:17 作者: Pillory 時(shí)間: 2025-3-30 05:35
Elementary Lie Algebra Theory,This chapter establishes fundamental results concerning Lie algebras over fields of characteristic 0. The principal notions involved are semisimplicity, solvability and nilpotency.作者: 艦旗 時(shí)間: 2025-3-30 11:25 作者: FLOUR 時(shí)間: 2025-3-30 15:32 作者: 旋轉(zhuǎn)一周 時(shí)間: 2025-3-30 18:16
From Lie Algebras to Groups,In this final chapter, we apply the above results on Lie algebras in order to bring the Lie theory of algebraic groups over fields of characteristic 0 to a satisfactory state of completeness.作者: Thyroid-Gland 時(shí)間: 2025-3-30 22:17
Representative Functions and Hopf Algebras,ed here as an abstraction from the systems of functions associated with the representations of a group by automorphisms of finite-dimensional vector spaces. This leads to an initializing discussion of our main objects of study, affine algebraic groups.作者: IOTA 時(shí)間: 2025-3-31 01:37 作者: PATHY 時(shí)間: 2025-3-31 07:23 作者: 大量 時(shí)間: 2025-3-31 09:41 作者: 終點(diǎn) 時(shí)間: 2025-3-31 16:19
Borel Subgroups,s. This theory is based on certain families of subgroups, such as toroids and ., i.e., irreducible maximal solvable subgroups. To some extent, the consideration of Borel subgroups reduces the structure theory to that of solvable groups.作者: Feedback 時(shí)間: 2025-3-31 20:11
Algebraic Automorphism Groups, .(.) with the structure of an algebraic group in such a way that . becomes a strict .(.)-variety. The example of a toroid of dimension greater than 1 shows that this is not always possible. However, good questions remain concerning suitable subgroups of .(.) or suitably restricted groups .作者: 思鄉(xiāng)病 時(shí)間: 2025-3-31 23:38
Basic Theory of Algebraic Groups and Lie Algebras978-1-4613-8114-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 煉油廠 時(shí)間: 2025-4-1 04:53 作者: Jubilation 時(shí)間: 2025-4-1 09:47 作者: 擔(dān)憂 時(shí)間: 2025-4-1 11:06 作者: Individual 時(shí)間: 2025-4-1 14:31
Conductance of Correlated Nanostructurese, equipped with a superstructure of functions. Section 1 introduces pre-varieties, a preliminary notion slightly more general than that of a variety, which is convenient for developing the basic technical results concerning varieties. Section 2 is devoted to products of prevarieties and the notion of a variety.
