The Kostant partition functions for twisted Kac-Moody algebras
Employing the method of generating functions and making use of some infinite product identities like Euler, Jacobi's triple product and pentagon identities we derive recursion relations for Kostant's partition functions for the twisted Kac-Moody algebras.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002751 |
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| _version_ | 1832558735049883648 |
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| author | Ranabir Chakrabarti Thalanayar S. Santhanam |
| author_facet | Ranabir Chakrabarti Thalanayar S. Santhanam |
| author_sort | Ranabir Chakrabarti |
| collection | DOAJ |
| description | Employing the method of generating functions and making use of some infinite product
identities like Euler, Jacobi's triple product and pentagon identities we derive recursion
relations for Kostant's partition functions for the twisted Kac-Moody algebras. |
| format | Article |
| id | doaj-art-7fe743f8a047411eaa2166ece4934e62 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7fe743f8a047411eaa2166ece4934e622025-02-03T01:31:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241112710.1155/S0161171200002751The Kostant partition functions for twisted Kac-Moody algebrasRanabir Chakrabarti0Thalanayar S. Santhanam1Department of Theoretical Physics, University of Madras, Madras 600025, IndiaDepartment of Physics, Parks College of Engineering and Aviation, Saint Louis University, Saint Louis 63103, Missouri, USAEmploying the method of generating functions and making use of some infinite product identities like Euler, Jacobi's triple product and pentagon identities we derive recursion relations for Kostant's partition functions for the twisted Kac-Moody algebras.http://dx.doi.org/10.1155/S0161171200002751Partition functionKac-Moody algebragenerating functions. |
| spellingShingle | Ranabir Chakrabarti Thalanayar S. Santhanam The Kostant partition functions for twisted Kac-Moody algebras International Journal of Mathematics and Mathematical Sciences Partition function Kac-Moody algebra generating functions. |
| title | The Kostant partition functions for twisted Kac-Moody algebras |
| title_full | The Kostant partition functions for twisted Kac-Moody algebras |
| title_fullStr | The Kostant partition functions for twisted Kac-Moody algebras |
| title_full_unstemmed | The Kostant partition functions for twisted Kac-Moody algebras |
| title_short | The Kostant partition functions for twisted Kac-Moody algebras |
| title_sort | kostant partition functions for twisted kac moody algebras |
| topic | Partition function Kac-Moody algebra generating functions. |
| url | http://dx.doi.org/10.1155/S0161171200002751 |
| work_keys_str_mv | AT ranabirchakrabarti thekostantpartitionfunctionsfortwistedkacmoodyalgebras AT thalanayarssanthanam thekostantpartitionfunctionsfortwistedkacmoodyalgebras AT ranabirchakrabarti kostantpartitionfunctionsfortwistedkacmoodyalgebras AT thalanayarssanthanam kostantpartitionfunctionsfortwistedkacmoodyalgebras |