close
1.

図書

図書
Franz Georg Timmesfeld
出版情報: Basel ; Boston : Birkhäuser Verlag, c2001  xiii, 389 p. ; 24 cm
シリーズ名: Monographs in mathematics ; v. 95
所蔵情報: loading…
2.

図書

図書
Alexander Kleshchev
出版情報: Cambridge : Cambridge University Press, c2005  xiv, 277 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 163
所蔵情報: loading…
目次情報: 続きを見る
Preface
Linear Representations / Part I:
Notations and generalities / 1:
Symmetric groups I / 2:
Degenerate affine Hecke algebra / 3:
First results on Hn-modules / 4:
Crystal operators / 5:
Character calculations / 6:
Integral representations and cyclotomic Hecke algebras / 7:
Functors ei? and fi? / 8:
Construction of UZ+ and irreducible modules / 9:
Identification of the crystal / 10:
Symmetric groups II / 11:
Projective Representations / Part II:
Generalities on superalgebra / 12:
Sergeev superalgebras / 13:
Affine Sergeev superalgebras / 14:
Integral representations and cyclotomic Sergeev algebras / 15:
First results on Xn-modules / 16:
Crystal operators for Xn / 17:
Character calculations for Xn / 18:
Operators ei? and fi? / 19:
Double covers / 20:
References
Index
Preface
Linear Representations / Part I:
Notations and generalities / 1:
3.

図書

図書
G. Lusztig
出版情報: Providence, R.I. : American Mathematical Society, c2003  vi, 136 p. ; 26 cm
シリーズ名: CRM monograph series ; v. 18
所蔵情報: loading…
4.

図書

図書
Patrice Tauvel, Rupert W. T. Yu
出版情報: Berlin : Springer, c2005  xvi, 653 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Preface
Results on topological spaces / 1:
Irreducible sets and spaces / 1.1:
Dimension / 1.2:
Noetherian spaces / 1.3:
Constructible sets / 1.4:
Gluing topological spaces / 1.5:
Rings and modules / 2:
Ideals / 2.1:
Prime and maximal ideals / 2.2:
Rings of fractions and localization / 2.3:
Localization of modules / 2.4:
Radical of an ideal / 2.5:
Local rings / 2.6:
Noetherian rings and modules / 2.7:
Derivations / 2.8:
Module of differentials / 2.9:
Integral extensions / 3:
Integral dependence / 3.1:
Integrally closed rings / 3.2:
Extensions of prime ideals / 3.3:
Factorial rings / 4:
Generalities / 4.1:
Unique factorization / 4.2:
Principal ideal domains and Euclidean domains / 4.3:
Polynomial and factorial rings / 4.4:
Symmetric polynomials / 4.5:
Resultant and discriminant / 4.6:
Field extensions / 5:
Extensions / 5.1:
Algebraic and transcendental elements / 5.2:
Algebraic extensions / 5.3:
Transcendence basis / 5.4:
Norm and trace / 5.5:
Theorem of the primitive element / 5.6:
Going Down Theorem / 5.7:
Fields and derivations / 5.8:
Conductor / 5.9:
Finitely generated algebras / 6:
Noether''s Normalization Theorem / 6.1:
Krull''s Principal Ideal Theorem / 6.3:
Maximal ideals / 6.4:
Zariski topology / 6.5:
Gradings and filtrations / 7:
Graded rings and graded modules / 7.1:
Graded submodules / 7.2:
Applications / 7.3:
Filtrations / 7.4:
Grading associated to a filtration / 7.5:
Inductive limits / 8:
Inductive systems of maps / 8.1:
Inductive systems of magmas, groups and rings / 8.3:
An example / 8.4:
Inductive systems of algebras / 8.5:
Sheaves of functions / 9:
Sheaves / 9.1:
Morphisms / 9.2:
Sheaf associated to a presheaf / 9.3:
Gluing / 9.4:
Ringed space / 9.5:
Jordan decomposition and some basic results on groups / 10:
Jordan decomposition / 10.1:
Generalities on groups / 10.2:
Commutators / 10.3:
Solvable groups / 10.4:
Nilpotent groups / 10.5:
Group actions / 10.6:
Generalities on representations / 10.7:
Examples / 10.8:
Algebraic sets / 11:
Affine algebraic sets / 11.1:
Regular functions / 11.2:
Examples of morphisms / 11.4:
Abstract algebraic sets / 11.6:
Principal open subsets / 11.7:
Products of algebraic sets / 11.8:
Prevarieties and varieties / 12:
Structure sheaf / 12.1:
Algebraic prevarieties / 12.2:
Morphisms of prevarieties / 12.3:
Products of prevarieties / 12.4:
Algebraic varieties / 12.5:
Rational functions / 12.6:
Local rings of a variety / 12.8:
Projective varieties / 13:
Projective spaces / 13.1:
Projective spaces and varieties / 13.2:
Cones and projective varieties / 13.3:
Complete varieties / 13.4:
Products / 13.5:
Grassmannian variety / 13.6:
Dimension of varieties / 14:
Dimension and the number of equations / 14.2:
System of parameters / 14.3:
Counterexamples / 14.4:
Morphisms and dimension / 15:
Criterion of affineness / 15.1:
Affine morphisms / 15.2:
Finite morphisms / 15.3:
Factorization and applications / 15.4:
Dimension of fibres of a morphism / 15.5:
Tangent spaces / 15.6:
A first approach / 16.1:
Zariski tangent space / 16.2:
Differential of a morphism / 16.3:
Some lemmas / 16.4:
Smooth points / 16.5:
Normal varieties / 17:
Normalization / 17.1:
Products of normal varieties / 17.3:
Properties of normal varieties / 17.4:
Root systems / 18:
Reflections / 18.1:
Root systems and bilinear forms / 18.2:
Passage to the field of real numbers / 18.4:
Relation between two roots / 18.5:
Base of a root system / 18.6:
Weyl chambers / 18.7:
Highest root / 18.8:
Closed subsets of roots / 18.9:
Weights / 18.10:
Graphs / 18.11:
Dynkin diagrams / 18.12:
Classification of root systems / 18.13:
Lie algebras / 19:
Generalities on Lie algebras / 19.1:
Representations / 19.2:
Nilpotent Lie algebras / 19.3:
Solvable Lie algebras / 19.4:
Radical and the largest nilpotent ideal / 19.5:
Nilpotent radical / 19.6:
Regular linear forms / 19.7:
Cartan subalgebras / 19.8:
Semisimple and reductive Lie algebras / 20:
Semisimple Lie algebras / 20.1:
Semisimplicity of representations / 20.2:
Semisimple and nilpotent elements / 20.4:
Reductive Lie algebras / 20.5:
Results on the structure of semisimple Lie algebras / 20.6:
Subalgebras of semisimple Lie algebras / 20.7:
Parabolic subalgebras / 20.8:
Algebraic groups / 21:
Subgroups and morphisms / 21.1:
Connectedness / 21.3:
Actions of an algebraic group / 21.4:
Modules / 21.5:
Group closure / 21.6:
Affine algebraic groups / 22:
Translations of functions / 22.1:
Jordan / 22.2:
Preface
Results on topological spaces / 1:
Irreducible sets and spaces / 1.1:
5.

図書

図書
T.A. Springer
出版情報: Boston : Birkhäuser, c1998  x, 334 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 9
所蔵情報: loading…
6.

図書

図書
Kevin P. Knudson
出版情報: Basel ; Boston : Birkhäuser Verlag, c2001  xi, 192 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 193
所蔵情報: loading…
7.

図書

図書
Michel Waldschmidt
出版情報: Berlin : Springer, c2000  xxiii, 633 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 326
所蔵情報: loading…
目次情報: 続きを見る
Introduction and Historical Survey / 1:
Linear Independence of Logarithms of Algebraic Numbers / Part I:
Transcendence Proofs in One Variable / 2:
Heights of Algebraic Numbers / 3:
The Criterion of Schneider-Lang / 4:
Zero Estimate / 5:
Measures of Linear Independence / 6:
A First Measure with a Simple Proof / 7:
Zero Estimate (Continued), by Damien ROY / 8:
Refined Measure / 9:
Multiplicities in Higher Dimension / III:
Multiplicity Estimates, by Damien ROY / 10:
Interpolation Determinants with One Derivative / 11:
On Baker's Method / 12:
The Linear Subgroup Theorem / Part IV:
Points Whose Coordinates are Logarithms of Algebraic Numbers / 13:
Lower Bounds for the Rank of Matrices / 14:
Simultaneous Approximation of Values of the Exponential Function in Several Variables / Part V:
A Quantitative Version of the Linear Subgroup Theorem / 15:
Applications to Diophantine Approximation / 16:
Algebraic Independence / 17:
References
Introduction and Historical Survey / 1:
Linear Independence of Logarithms of Algebraic Numbers / Part I:
Transcendence Proofs in One Variable / 2:
8.

図書

図書
Goro Shimura
出版情報: Providence, R.I. : American Mathematical Society, c2004  ix, 275 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; v. 109
所蔵情報: loading…
9.

図書

図書
Meinolf Geck
出版情報: Oxford : Oxford University Press, 2003  xii, 307 p. ; 24 cm
シリーズ名: Oxford graduate texts in mathematics ; 10
所蔵情報: loading…
目次情報: 続きを見る
Algebraic sets and algebraic groups / 1:
Affine varieties and finite morphisms / 2:
Algebraic representations and Borel subgroups / 3:
Frobenius maps and finite groups of Lie type / 4:
Bibliography
Index
Algebraic sets and algebraic groups / 1:
Affine varieties and finite morphisms / 2:
Algebraic representations and Borel subgroups / 3:
10.

図書

図書
Jens Carsten Jantzen
出版情報: Boston ; Tokyo : Academic Press, c1987  xiii, 443 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 131
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼