Celebratio Mathematica — Benkart

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Works connected to Jörg Feldvoss

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G. Benkart and J. Feldvoss: “Some problems in the representation theory of simple modular Lie algebras,” pp. 207–228 in Lie algebras and related topics: Workshop on Lie algebras, in honor of Helmut Strade’s 70th birthday (22–24 May 2013, Milan). Edited by M. Avitabile, J. Feldvoss, and T. Weigel. Contemporary Mathematics 652. American Mathematical Society (Providence, RI), 2015. MR 3453057 Zbl 06622485 ArXiv 1503.06762 incollection

The finite-dimensional restricted simple Lie algebras of characteristic \( p > 5 \) are classical or of Cartan type. The classical algebras are analogues of the simple complex Lie algebras and have a well-advanced representation theory with important connections to Kazhdan–Lusztig theory, quantum groups at roots of unity, and the representation theory of algebraic groups. We survey progress that has been made towards developing a representation theory for the restricted simple Cartan-type Lie algebras, discuss comparable results in the classical case, formulate a couple of conjectures, and pose a dozen open problems for further study.

Helmut Strade	Related
Jörg Feldvoss	Related