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Structural aspects and representations of Kac-Moody algebras, their generalizations and hyperalgebras

Abstract

This project intends to study some aspects of the representation theory of algebras related to the affine Kac-Moody algebras, their generalizations and hyperalgebras. The main goal is to investigate properties on finite-dimensional representations of current and loop algebras (hyperalgebras) and truncated current algebras, with emphasis on local Weyl modules. It is also intended to consider Demazure modules and global Weyl modules to explore the relationship they have with the local Weyl modules. (AU)

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Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BIANCHI, ANGELO; WILSON, EVAN. Bases for local Weyl modules for the hyper and truncated current sl(2)-algebras. Journal of Algebra, v. 506, p. 509-539, . (11/12079-5, 14/09310-5, 15/22040-0)
BIANCHI, A.; MACEDO, T.. Demazure and Weyl Modules for Hyperalgebras of Twisted Current Algebras. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, n. 1, p. 25-pg., . (15/22040-0)
BIANCHI, A.; MACEDO, T.. emazure and Weyl Modules for Hyperalgebras of Twisted Current Algebra. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, n. 1, . (15/22040-0)
BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. Weyl modules and Weyl functors for hyper-map algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 1, SI, . (15/22040-0, 18/23690-6)
BIANCHI, ANGELO; CHAMBERLIN, SAMUEL. Weyl modules and Weyl functors for hyper-map algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 1, p. 20-pg., . (18/23690-6, 15/22040-0)

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