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- catalog alternative "Mugen jigen Lie-kan. English".
- catalog contributor b11929488.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description "1.2. Representation Theory of sl(2, C) 20 -- 1.3. Structure of Simple Finite-Dimensional Lie Algebras 27 -- 1.4. Toward Infinite-Dimensional Lie Algebras 47 -- 1.5. A Few Words on Lie Superalgebras 50 -- Chapter 2. Structuress and Representations of BKM (Super- ) Algebras 73 -- 2.1. Inner Product and Cartan Matrix of BKM (Super- ) Algebras 74 -- 2.2. Weyl Groups 100 -- 2.3. Root Systems 110 -- 2.4. Integrable Representations 120 -- 2.5. Character Formulae and Denominator Identity 137 -- Chapter 3. Affine Lie Algebras 153 -- 3.1. Properties of Weyl Groups and Roots for Simple Finite-Dimensional Lie Algebras 153 -- 3.2. Invariant Form on Simple Finite-Dimensional Lie Algebras 166 -- 3.3. Structure of Affine Lie Algebras 170 -- 3.4. Pairing and Contravariant Form on Verma Modules 183 -- 3.5. Weyl Group of Affine Lie Algebras and Characters of Irreducible Representations 192 -- 3.6. Jacobi Triple Product Identity 200 -- Chapter 4. Modular Transformations of Characters of Affine Lie Algebras 205 -- 4.1. Classical Theta Functions 205 -- 4.2. Jacobi's Theta Function -- Modular Transformations and Asymptotic Behavior 212 -- 4.3. Modular Transformations of Characters 224 -- Chapter 5. Fusion Algebras 245 -- Chapter 6. In Lieu of Postscript -- Virasoro Algebra -- 253 -- Further Developments 285.".
- catalog description "Includes bibliographical references (p. 291-299) and index.".
- catalog extent "xviii, 304 p.;".
- catalog identifier "0821826549 (softcover : alk. paper)".
- catalog isPartOf "Iwanami series in modern mathematics".
- catalog isPartOf "Translations of mathematical monographs, 0065-9282 ; v. 195".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng jpn".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "512/.55 21".
- catalog subject "Lie algebras.".
- catalog subject "QA252.3 .W3413 2001".
- catalog tableOfContents "1.2. Representation Theory of sl(2, C) 20 -- 1.3. Structure of Simple Finite-Dimensional Lie Algebras 27 -- 1.4. Toward Infinite-Dimensional Lie Algebras 47 -- 1.5. A Few Words on Lie Superalgebras 50 -- Chapter 2. Structuress and Representations of BKM (Super- ) Algebras 73 -- 2.1. Inner Product and Cartan Matrix of BKM (Super- ) Algebras 74 -- 2.2. Weyl Groups 100 -- 2.3. Root Systems 110 -- 2.4. Integrable Representations 120 -- 2.5. Character Formulae and Denominator Identity 137 -- Chapter 3. Affine Lie Algebras 153 -- 3.1. Properties of Weyl Groups and Roots for Simple Finite-Dimensional Lie Algebras 153 -- 3.2. Invariant Form on Simple Finite-Dimensional Lie Algebras 166 -- 3.3. Structure of Affine Lie Algebras 170 -- 3.4. Pairing and Contravariant Form on Verma Modules 183 -- 3.5. Weyl Group of Affine Lie Algebras and Characters of Irreducible Representations 192 -- 3.6. Jacobi Triple Product Identity 200 -- Chapter 4. Modular Transformations of Characters of Affine Lie Algebras 205 -- 4.1. Classical Theta Functions 205 -- 4.2. Jacobi's Theta Function -- Modular Transformations and Asymptotic Behavior 212 -- 4.3. Modular Transformations of Characters 224 -- Chapter 5. Fusion Algebras 245 -- Chapter 6. In Lieu of Postscript -- Virasoro Algebra -- 253 -- Further Developments 285.".
- catalog title "Infinite-dimensional Lie algebras / Minoru Wakimoto ; translated by Kenji Iohara.".
- catalog title "Mugen jigen Lie-kan. English".
- catalog type "text".