Abstract
A brief introduction to Idempotent Mathematics is presented. Idempotent Mathematics can be treated as a result of a dequantization of the traditional Mathematics as the Planck constant tends to zero taking pure imaginary values. In the framework of Idempotent Mathematics some basic concepts and results of the theory of group representations (including some unexpected theorems of the Engel type) are discussed.
This work was supported by the RFBR grant 99-01-00196 and the Dutch Organization for Scientific Research (N.W.O.).
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Litvinov, G.L., Maslov, V.P., Shpiz, G.B. (2002). Idempotent (Asymptotic) Mathematics and the Representation Theory. In: Malyshev, V., Vershik, A. (eds) Asymptotic Combinatorics with Application to Mathematical Physics. NATO Science Series, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0575-3_13
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DOI: https://doi.org/10.1007/978-94-010-0575-3_13
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