Journal article

Bernoulli, Euler, permutations and quantum algebras

Abstract:: The combinatorial properties of the Bernoulli and Euler numbers are interpreted using a new classification of permutations. The classification is naturally described by an operator algebra of a type familiar from quantum theory. It has a duality structure described by an operator satisfying anticommutation relations. © 2007 The Royal Society.

Publication status:: Published

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APA Style

Hodges, A., & Sukumar, C. (2007). Bernoulli, Euler, permutations and quantum algebras. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463(2086), 2401–2414.

MLA Style

Hodges, A., and C. Sukumar. “Bernoulli, Euler, Permutations and Quantum Algebras.” PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 463, no. 2086, 2007, pp. 2401–14.

Chicago Style

Hodges, A, and C Sukumar. 2007. “Bernoulli, Euler, Permutations and Quantum Algebras.” PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 463 (2086): 2401–14.
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Publisher copy:: 10.1098/rspa.2007.0001

Authors

+ Hodges, A More by this author

Role:: Author

+ Sukumar, C More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Sub department:: Theoretical Physics
Role:: Author

Journal:: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES More from this journal
Volume:: 463
Issue:: 2086
Pages:: 2401-2414
Publication date:: 2007-10-08
DOI:: 10.1098/rspa.2007.0001
EISSN:: 1471-2946
ISSN:: 1364-5021

Language:: English
Keywords:: bernoulli numbers

permutations

quantum algebra
Pubs id:: pubs:21891
UUID:: uuid:48689125-434e-4a95-b31f-5d8b921f95e6
Local pid:: pubs:21891
Source identifiers:: 21891
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2007

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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