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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 116, Pages 74–85
(Mi znsl1753)
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This article is cited in 16 scientific papers (total in 16 papers)
Modular forms and representations of symmetric groups
A. A. Klyachko
Abstract:
We give an interpretation of the coefficients of some modular forms in terms of modular representations of symmetric groups. Using this we can obtain asymptotic formulas for the number of blocks of the symmetric group $S_n$ over a field of characteristic $p$ for $n\to\infty$. For $p\leqslant7$ we give simple explicit formulas for the number of blocks of defect zero. The study of the modular forms leads to interesting identities involving the Dedekind $n$-function.
Citation:
A. A. Klyachko, “Modular forms and representations of symmetric groups”, Integral lattices and finite linear groups, Zap. Nauchn. Sem. LOMI, 116, "Nauka", Leningrad. Otdel., Leningrad, 1982, 74–85; J. Soviet Math., 26:3 (1984), 1879–1887
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https://www.mathnet.ru/eng/znsl1753 https://www.mathnet.ru/eng/znsl/v116/p74
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Abstract page: | 310 | Full-text PDF : | 162 |
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