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00000cam c2200205 c 4500
000001261773
20181106183201
180719s2015 us a b 001 0 engc
▼a 9783319134666
▼a 3319134663
▼a 0387215549 (electronic bk.)
▼a 9780387215549 (electronic bk.)
▼a 3319134671
▼a 9783319134673
▼a 211047
▼c 211047
▼d 211047
▼a 512
▼2 23
▼a Hall, Brian C.
▼a Lie groups, Lie algebras, and representations:
▼b an elementary introduction/
▼d Brian Hall.
▼a 2nd ed.
▼a Cham ;
▼a New York:
▼b Springer,
▼c 2015.
▼a xiii, 449 p.:
▼b ill.;
▼c 25 cm.
▼a Graduate texts in mathematics;
▼v 222
▼a Includes bibliographical references (p. 443-444) and index.
▼a Part I: General theory -- Martix Lie groups -- The matrix exponential -- Lie algebras -- Basic representation theory -- The Baker-Campbell-Hausdorff formula and its consequences -- Part II: Semisimple Lie algebras -- The represantations of sl(3;C) -- Semisimple Lie algebras -- Root systems -- Representations of semisimple Lie algebras -- Further properties of the representations -- Part III: Compact Lie groups -- Compact Lie groups and maximal tori -- The compact group approach to representation theory -- Fundamental groups of compact Lie groups -- A: Linear algebra review -- B: Differential forms -- C: Clebsch-Gordan theory and the Wigner-Eckart theorem -- D: Completeness of characters.
▼a Lie groups.
▼a Lie algebras.
▼a Representations of Lie groups.
▼a Representations of Lie algebras.
▼a Graduate texts in mathematics;
▼v 222.
▼a 김자옥
▼a 단행본
▼a 512.55
▼b H14L2
| 자료유형 : | 단행본 |
|---|---|
| ISBN : | 9783319134666 |
| ISBN : | 3319134663 |
| ISBN : | 0387215549 (electronic bk.) |
| ISBN : | 9780387215549 (electronic bk.) |
| ISBN : | 3319134671 |
| ISBN : | 9783319134673 |
| 개인저자 : | Hall, Brian C. |
| 서명/저자사항 : | Lie groups, Lie algebras, and representations: an elementary introduction/ Brian Hall. |
| 판사항 : | 2nd ed. |
| 발행사항 : | Cham ; New York: Springer, 2015. |
| 형태사항 : | xiii, 449 p.: ill.; 25 cm. |
| 총서사항 : | Graduate texts in mathematics; 222 |
| 서지주기 : | Includes bibliographical references (p. 443-444) and index. |
| 내용주기 : | Part I: General theory -- Martix Lie groups -- The matrix exponential -- Lie algebras -- Basic representation theory -- The Baker-Campbell-Hausdorff formula and its consequences -- Part II: Semisimple Lie algebras -- The represantations of sl(3;C) -- Semisimple Lie algebras -- Root systems -- Representations of semisimple Lie algebras -- Further properties of the representations -- Part III: Compact Lie groups -- Compact Lie groups and maximal tori -- The compact group approach to representation theory -- Fundamental groups of compact Lie groups -- A: Linear algebra review -- B: Differential forms -- C: Clebsch-Gordan theory and the Wigner-Eckart theorem -- D: Completeness of characters. |
| 일반주제명 : | Lie groups. -- |
| 일반주제명 : | Lie algebras. -- |
| 일반주제명 : | Representations of Lie groups. -- |
| 일반주제명 : | Representations of Lie algebras. -- |
| 분류기호 : | 512.55 |
| 언어 | 영어 |
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