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Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors
| Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lie algebras
Vertex operator algebras Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8121-3
0-8218-3986-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Biographies of James Lepowsky and Robert Wilson""; ""List of Ph.D. Students""; ""List of Talks""; ""List of Participants""; ""Lie algebras and related topics""; ""A Class of Gradings of Simple Lie Algebras""; ""Conjugacy Results for the Lie Algebra sI2 over an Algebra Which is a UFD""; ""Kirillov-Reshetikhin Modules Associated to G2""; ""Support Spaces and Auslander-Reiten Components""; ""On the Cohomology of Modular Lie Algebras""; ""Eisenstein Series on Loop Groups: Maass-Selberg Relations 4""
""Generalized Littlewood-Richardson Rule for Exceptional Lie Algebras E6 and F4""""An Introduction to Qn and Its Graph Related Quotients""; ""Affine Geometric Crystal of Type G2(1)""; ""New Constructions of Yang-Baxter Systems""; ""Construction of Some Algebras Associated to Directed Graphs and Related to Factorizations of Noncommutative Polynomials""; ""Geometric and Combinatorial Realizations of Crystals of Enveloping Algebras""; ""Lie algebras of Small Dimensiou""; ""Vertex (operator) algebras and related topics""; ""Symmetric Polynomials and HD-Quantum Vertex Algebras"" ""HT-Vertex Algebras""""On Intertwining Operators and Recursions""; ""Representations of Vertex Operator Algebras""; ""On Non-Semisimple Fusion Rules and Tensor Categories""; ""The Duality between Vertex Operator Algebras and Coalgebras, Modules and Comodules""; ""Some Developments in Vertex Operator Algebra Theory, Old and New""; ""Twisted Modules and Quasi-Modules for Vertex Operator Algebras""; ""Chiral Algebras and Partition Functions""; ""Modular Forms and Almost Linear Dependence of Graded Dimensions""; ""( k, r )-Admissible Configurations and Intertwining Operators"" ""Hilbert Schemes of Points on the Minimal Resolution and Soliton Equations""""Twining Characters and Picard Groups in Rational Conformal Field Theory"" |
| Record Nr. | UNINA-9910480007303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors
| Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lie algebras
Vertex operator algebras Representations of algebras |
| Soggetto non controllato |
Lepowsky
Wilson |
| ISBN |
0-8218-8121-3
0-8218-3986-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Biographies of James Lepowsky and Robert Wilson""; ""List of Ph.D. Students""; ""List of Talks""; ""List of Participants""; ""Lie algebras and related topics""; ""A Class of Gradings of Simple Lie Algebras""; ""Conjugacy Results for the Lie Algebra sI2 over an Algebra Which is a UFD""; ""Kirillov-Reshetikhin Modules Associated to G2""; ""Support Spaces and Auslander-Reiten Components""; ""On the Cohomology of Modular Lie Algebras""; ""Eisenstein Series on Loop Groups: Maass-Selberg Relations 4""
""Generalized Littlewood-Richardson Rule for Exceptional Lie Algebras E6 and F4""""An Introduction to Qn and Its Graph Related Quotients""; ""Affine Geometric Crystal of Type G2(1)""; ""New Constructions of Yang-Baxter Systems""; ""Construction of Some Algebras Associated to Directed Graphs and Related to Factorizations of Noncommutative Polynomials""; ""Geometric and Combinatorial Realizations of Crystals of Enveloping Algebras""; ""Lie algebras of Small Dimensiou""; ""Vertex (operator) algebras and related topics""; ""Symmetric Polynomials and HD-Quantum Vertex Algebras"" ""HT-Vertex Algebras""""On Intertwining Operators and Recursions""; ""Representations of Vertex Operator Algebras""; ""On Non-Semisimple Fusion Rules and Tensor Categories""; ""The Duality between Vertex Operator Algebras and Coalgebras, Modules and Comodules""; ""Some Developments in Vertex Operator Algebra Theory, Old and New""; ""Twisted Modules and Quasi-Modules for Vertex Operator Algebras""; ""Chiral Algebras and Partition Functions""; ""Modular Forms and Almost Linear Dependence of Graded Dimensions""; ""( k, r )-Admissible Configurations and Intertwining Operators"" ""Hilbert Schemes of Points on the Minimal Resolution and Soliton Equations""""Twining Characters and Picard Groups in Rational Conformal Field Theory"" |
| Record Nr. | UNINA-9910788793203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors
| Lie algebras, vertex operator algebras and their applications : international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / / Yi-Zhi Huang, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lie algebras
Vertex operator algebras Representations of algebras |
| Soggetto non controllato |
Lepowsky
Wilson |
| ISBN |
0-8218-8121-3
0-8218-3986-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Biographies of James Lepowsky and Robert Wilson""; ""List of Ph.D. Students""; ""List of Talks""; ""List of Participants""; ""Lie algebras and related topics""; ""A Class of Gradings of Simple Lie Algebras""; ""Conjugacy Results for the Lie Algebra sI2 over an Algebra Which is a UFD""; ""Kirillov-Reshetikhin Modules Associated to G2""; ""Support Spaces and Auslander-Reiten Components""; ""On the Cohomology of Modular Lie Algebras""; ""Eisenstein Series on Loop Groups: Maass-Selberg Relations 4""
""Generalized Littlewood-Richardson Rule for Exceptional Lie Algebras E6 and F4""""An Introduction to Qn and Its Graph Related Quotients""; ""Affine Geometric Crystal of Type G2(1)""; ""New Constructions of Yang-Baxter Systems""; ""Construction of Some Algebras Associated to Directed Graphs and Related to Factorizations of Noncommutative Polynomials""; ""Geometric and Combinatorial Realizations of Crystals of Enveloping Algebras""; ""Lie algebras of Small Dimensiou""; ""Vertex (operator) algebras and related topics""; ""Symmetric Polynomials and HD-Quantum Vertex Algebras"" ""HT-Vertex Algebras""""On Intertwining Operators and Recursions""; ""Representations of Vertex Operator Algebras""; ""On Non-Semisimple Fusion Rules and Tensor Categories""; ""The Duality between Vertex Operator Algebras and Coalgebras, Modules and Comodules""; ""Some Developments in Vertex Operator Algebra Theory, Old and New""; ""Twisted Modules and Quasi-Modules for Vertex Operator Algebras""; ""Chiral Algebras and Partition Functions""; ""Modular Forms and Almost Linear Dependence of Graded Dimensions""; ""( k, r )-Admissible Configurations and Intertwining Operators"" ""Hilbert Schemes of Points on the Minimal Resolution and Soliton Equations""""Twining Characters and Picard Groups in Rational Conformal Field Theory"" |
| Record Nr. | UNINA-9910821329303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lie algebras, vertex operator algebras, and related topics : a conference in honor of J. Lepowsky and R. Wilson, August 14-18, 2015, University of Notre Dame, Notre Dame, Indiana / / Katrina Barron [and three others], editors
| Lie algebras, vertex operator algebras, and related topics : a conference in honor of J. Lepowsky and R. Wilson, August 14-18, 2015, University of Notre Dame, Notre Dame, Indiana / / Katrina Barron [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (282 pages) : illustrations |
| Disciplina | 512.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lie algebras
Vertex operator algebras Representations of algebras |
| ISBN | 1-4704-4196-9 |
| Classificazione | 17B4517B6918D1032G1581T05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795088203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lie algebras, vertex operator algebras, and related topics : a conference in honor of J. Lepowsky and R. Wilson, August 14-18, 2015, University of Notre Dame, Notre Dame, Indiana / / Katrina Barron [and three others], editors
| Lie algebras, vertex operator algebras, and related topics : a conference in honor of J. Lepowsky and R. Wilson, August 14-18, 2015, University of Notre Dame, Notre Dame, Indiana / / Katrina Barron [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (282 pages) : illustrations |
| Disciplina | 512.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lie algebras
Vertex operator algebras Representations of algebras |
| ISBN | 1-4704-4196-9 |
| Classificazione | 17B4517B6918D1032G1581T05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910824852803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Historical note""; ""1. Introduction""; ""2. Vertex operator algebras""; ""2.1. Formal calculus""; ""2.2. Definition of vertex operator algebras""; ""2.3. Consequences of the definition""; ""2.4. Elementary categorical notions""; ""2.5. Tensor products""; ""2.6. The Virasoro algebra and primary fields""; ""2.7. S[sub(3)]-symmetry of the Jacobi identity""; ""2.8. Quasi-vertex operator algebras""; ""3. Duality for vertex operator algebras""; ""3.1. Expansions of rational functions""; ""3.2. Rationality of products and commutativity""
""3.3. Rationality of iterates and associativity""""3.4. The Jacobi identity from commutativity and associativity""; ""3.5. Several variables""; ""3.6. The Jacobi identity from commutativity""; ""3.7. Proof of the tensor product construction""; ""4. Modules""; ""4.1. Definition""; ""4.2. Consequences of the definition""; ""4.3. Elementary categorical notions""; ""4.4. Primary fields""; ""4.5. Rationality, commutativity, associativity and the Jacobi identity""; ""4.6. Tensor product modules for tensor product algebras""; ""4.7. Irreducibility and tensor products""; ""5. Duality for modules"" ""5.1. Duality for one module element and two algebra elements""""5.2. Adjoint vertex operators and the contragredient module""; ""5.3. Properties of contragredient modules""; ""5.4. Intertwining operators""; ""5.5. Adjoint intertwining operators""; ""5.6. Duality for two module elements and one algebra element""; ""References"" |
| Record Nr. | UNINA-9910480708403321 |
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Historical note""; ""1. Introduction""; ""2. Vertex operator algebras""; ""2.1. Formal calculus""; ""2.2. Definition of vertex operator algebras""; ""2.3. Consequences of the definition""; ""2.4. Elementary categorical notions""; ""2.5. Tensor products""; ""2.6. The Virasoro algebra and primary fields""; ""2.7. S[sub(3)]-symmetry of the Jacobi identity""; ""2.8. Quasi-vertex operator algebras""; ""3. Duality for vertex operator algebras""; ""3.1. Expansions of rational functions""; ""3.2. Rationality of products and commutativity""
""3.3. Rationality of iterates and associativity""""3.4. The Jacobi identity from commutativity and associativity""; ""3.5. Several variables""; ""3.6. The Jacobi identity from commutativity""; ""3.7. Proof of the tensor product construction""; ""4. Modules""; ""4.1. Definition""; ""4.2. Consequences of the definition""; ""4.3. Elementary categorical notions""; ""4.4. Primary fields""; ""4.5. Rationality, commutativity, associativity and the Jacobi identity""; ""4.6. Tensor product modules for tensor product algebras""; ""4.7. Irreducibility and tensor products""; ""5. Duality for modules"" ""5.1. Duality for one module element and two algebra elements""""5.2. Adjoint vertex operators and the contragredient module""; ""5.3. Properties of contragredient modules""; ""5.4. Intertwining operators""; ""5.5. Adjoint intertwining operators""; ""5.6. Duality for two module elements and one algebra element""; ""References"" |
| Record Nr. | UNINA-9910788751303321 |
|
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Historical note""; ""1. Introduction""; ""2. Vertex operator algebras""; ""2.1. Formal calculus""; ""2.2. Definition of vertex operator algebras""; ""2.3. Consequences of the definition""; ""2.4. Elementary categorical notions""; ""2.5. Tensor products""; ""2.6. The Virasoro algebra and primary fields""; ""2.7. S[sub(3)]-symmetry of the Jacobi identity""; ""2.8. Quasi-vertex operator algebras""; ""3. Duality for vertex operator algebras""; ""3.1. Expansions of rational functions""; ""3.2. Rationality of products and commutativity""
""3.3. Rationality of iterates and associativity""""3.4. The Jacobi identity from commutativity and associativity""; ""3.5. Several variables""; ""3.6. The Jacobi identity from commutativity""; ""3.7. Proof of the tensor product construction""; ""4. Modules""; ""4.1. Definition""; ""4.2. Consequences of the definition""; ""4.3. Elementary categorical notions""; ""4.4. Primary fields""; ""4.5. Rationality, commutativity, associativity and the Jacobi identity""; ""4.6. Tensor product modules for tensor product algebras""; ""4.7. Irreducibility and tensor products""; ""5. Duality for modules"" ""5.1. Duality for one module element and two algebra elements""""5.2. Adjoint vertex operators and the contragredient module""; ""5.3. Properties of contragredient modules""; ""5.4. Intertwining operators""; ""5.5. Adjoint intertwining operators""; ""5.6. Duality for two module elements and one algebra element""; ""References"" |
| Record Nr. | UNINA-9910812413103321 |
|
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||