M
Minoru Wakimoto
Researcher at Massachusetts Institute of Technology
Publications - 53
Citations - 2508
Minoru Wakimoto is an academic researcher from Massachusetts Institute of Technology. The author has contributed to research in topics: Lie algebra & Poisson distribution. The author has an hindex of 20, co-authored 47 publications receiving 2268 citations. Previous affiliations of Minoru Wakimoto include Mie University & Kyushu University.
Papers
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Journal ArticleDOI
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
Victor G. Kac,Minoru Wakimoto +1 more
TL;DR: It is shown that the modular invariant representations of the Virasoro algebra Vir are precisely the "minimal series" of Belavin et al.
Book ChapterDOI
Integrable Highest Weight Modules over Affine Superalgebras and Number Theory
Victor G. Kac,Minoru Wakimoto +1 more
TL;DR: The problem of representing an integer as a sum of squares of integers has had a long history as discussed by the authors, and Girard and Fermat gave an irrefutable proof of this conjecture in 1641.
Journal ArticleDOI
Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction
TL;DR: In this article, the authors calculate characters and fusion coefficients for affine algebras obtained from modular invariant representations by the quantized Drinfeld-Sokolov reduction, using the cohomological approach.
Journal ArticleDOI
Quantum reduction and representation theory of superconformal algebras
Victor G. Kac,Minoru Wakimoto +1 more
TL;DR: In this paper, the structure and representations of a family of vertex algebras obtained from affine superalgeses by quantum reduction were studied. And the free field realizations and determinant formulas for all superconformal algesbras were obtained in a unified way.
Journal ArticleDOI
Quantum Reduction for Affine Superalgebras
TL;DR: In this article, the homological method of quantization of generalized Drinfeld-Sokolov reductions to affine superalgebras is extended to a unified representation theory of superconformal algesbras.