Introduction to Vertex Operator Algebras and Their Representations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2004
|
| Series: | Progress in Mathematics
227 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Vertexoperatoralgebra theory is a new area of mathematics. It has been an exciting and ever-growing subject from the beginning, starting even before R.Borcherds introduced theprecise mathematical notion of"vertex algebra" inthe 1980s [BI].Having developed in conjunction with string theory in theoretical physics and with the theory of "mon strous moonshine" and infinite-dimensional Lie algebra theory in mathematics, vertex (operator) algebra theory is qualitatively different from traditional algebraic theories, reflecting the "nonclassical" nature of string theory and of monstrous moonshine. The theory has revealed new perspectives that were unavailable without it, and continues to do so. "Monstrous moonshine" began as an astonishing set ofconjectures relating theMon ster finite simple group to the theory of modular functions in number theory.As is now known, vertex operator algebra theory is a foundational pillarof monstrous moonshine. With the theory available, one can formulate and try to solve new problems that have far-reaching implications in a wide range of fields that had not previously been thought of as being related |
| Physical Description: | 1 Online-Ressource (XIII, 318 p) |
| ISBN: | 9780817681869 9781461264804 |
| DOI: | 10.1007/978-0-8176-8186-9 |
Staff View
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Record in the Search Index
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| id | DE-604.BV042419199 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817681869 9781461264804 |
| language | English |
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| physical | 1 Online-Ressource (XIII, 318 p) |
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| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Birkhäuser Boston |
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| series2 | Progress in Mathematics |
| spelling | Lepowsky, James Verfasser aut Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky, Haisheng Li Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XIII, 318 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 227 Vertexoperatoralgebra theory is a new area of mathematics. It has been an exciting and ever-growing subject from the beginning, starting even before R.Borcherds introduced theprecise mathematical notion of"vertex algebra" inthe 1980s [BI].Having developed in conjunction with string theory in theoretical physics and with the theory of "mon strous moonshine" and infinite-dimensional Lie algebra theory in mathematics, vertex (operator) algebra theory is qualitatively different from traditional algebraic theories, reflecting the "nonclassical" nature of string theory and of monstrous moonshine. The theory has revealed new perspectives that were unavailable without it, and continues to do so. "Monstrous moonshine" began as an astonishing set ofconjectures relating theMon ster finite simple group to the theory of modular functions in number theory.As is now known, vertex operator algebra theory is a foundational pillarof monstrous moonshine. With the theory available, one can formulate and try to solve new problems that have far-reaching implications in a wide range of fields that had not previously been thought of as being related Mathematics Algebra Topological Groups Operator theory Associative Rings and Algebras Operator Theory Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik Li, Haisheng Sonstige oth https://doi.org/10.1007/978-0-8176-8186-9 Verlag Volltext |
| spellingShingle | Lepowsky, James Introduction to Vertex Operator Algebras and Their Representations Mathematics Algebra Topological Groups Operator theory Associative Rings and Algebras Operator Theory Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| title | Introduction to Vertex Operator Algebras and Their Representations |
| title_auth | Introduction to Vertex Operator Algebras and Their Representations |
| title_exact_search | Introduction to Vertex Operator Algebras and Their Representations |
| title_full | Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky, Haisheng Li |
| title_fullStr | Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky, Haisheng Li |
| title_full_unstemmed | Introduction to Vertex Operator Algebras and Their Representations by James Lepowsky, Haisheng Li |
| title_short | Introduction to Vertex Operator Algebras and Their Representations |
| title_sort | introduction to vertex operator algebras and their representations |
| topic | Mathematics Algebra Topological Groups Operator theory Associative Rings and Algebras Operator Theory Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Algebra Topological Groups Operator theory Associative Rings and Algebras Operator Theory Topological Groups, Lie Groups Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-0-8176-8186-9 |
| work_keys_str_mv | AT lepowskyjames introductiontovertexoperatoralgebrasandtheirrepresentations AT lihaisheng introductiontovertexoperatoralgebrasandtheirrepresentations |