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1.

図書
図書
1. Linear algebraic groups (: U.S. ; : Germany)
James E. Humphreys
出版情報: New York : Springer-Verlag, c1975  xiv, 247 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; v. 21
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目次情報: 続きを見る
Algebraic Geometry / I：
Affine Algebraic Groups / II：
Lie Algebras / III：
Homogeneous Spaces / IV：
Characteristic 0 Theory / V：
Semisimple and Unipotent Elements / VI：
Solvable Groups / VII：
Borel Subgroups / VIII：
Centralizers of Tori / IX：
Structure of Reductive Groups / X：
Representations and Classification of Semisimple Groups / XI：
Survey of Rationality Properties
Algebraic Geometry / I：
Affine Algebraic Groups / II：
Lie Algebras / III：
2.

図書
図書
2. Conjugacy classes in semisimple algebraic groups (: [pbk])
James E. Humphreys
出版情報: Providence, R.I. : American Mathematical Society, c1995  xviii, 196 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 43
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Review of semisimple groups
Basic facts about classes and centralizers
Centralizers of semisimple elements
The adjoint quotient Regular elements
Parabolic subgroups and unipotent classes
The unipotent variety and the flag variety
Nilpotent orbits and unipotent classes
Finite groups of Lie type
Springer's Weyl group representations Complements
References
Index
Review of semisimple groups
Basic facts about classes and centralizers
Centralizers of semisimple elements
3.

図書
図書
3. Reflection groups and Coxeter groups (: pbk)
James E. Humphreys
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1992, c1990  xii, 204 p. ; 23 cm
シリーズ名: Cambridge studies in advanced mathematics ; 29
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Finite and Affine Reflection Groups / Part I：
Finite reflection groups / 1：
Classification of finite reflection groups / 2：
Polynomial invariants of finite reflection groups / 3：
Affine reflection groups / 4：
General Theory of Coxeter Groups / Part II：
Coxeter groups / 5：
Special case / 6：
Hecke algebras and Kazhdan-Lusztig polynomials / 7：
Complements / 8：
Bibliography
Finite and Affine Reflection Groups / Part I：
Finite reflection groups / 1：
Classification of finite reflection groups / 2：
4.

図書
図書
4. Reflection groups and Coxeter groups
James E. Humphreys
出版情報: Cambridge ; New York : Cambridge University Press, 1990  xii, 204 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 29
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目次情報: 続きを見る
Finite and Affine Reflection Groups / Part I：
Finite reflection groups / 1：
Classification of finite reflection groups / 2：
Polynomial invariants of finite reflection groups / 3：
Affine reflection groups / 4：
General Theory of Coxeter Groups / Part II：
Coxeter groups / 5：
Special case / 6：
Hecke algebras and Kazhdan-Lusztig polynomials / 7：
Complements / 8：
Bibliography
Finite and Affine Reflection Groups / Part I：
Finite reflection groups / 1：
Classification of finite reflection groups / 2：
5.

電子ブック
ＥＢ
5. Introduction to Lie algebras and representation theory (: electronic bk)
James E. Humphreys
出版情報: New York : Springer-Verlag, [20--]  1 online resource (xii, 169 p.)
シリーズ名: Graduate texts in mathematics ; 9
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6.

図書
図書
6. Introduction to Lie algebras and representation theory (: N.Y., hard - : Berlin, pbk)
James E. Humphreys
出版情報: New York : Springer-Verlag, c1972(1994 printing)  xii, 173 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 9
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目次情報: 続きを見る
Preface
Basic Contents / 1：
Semisimple Lie Algebras / 2：
Root Systems / 3：
Isomorphism and Conjugacy Theorems / 4：
Existence Theorem / 5：
Representation Theory / 6：
Chevalley Algebras and Groups / 7：
References
Afterword
Index of Terminology
Index of Symbols
Preface
Basic Contents / 1：
Semisimple Lie Algebras / 2：
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