Extremal projectors for contragredient Lie (super)symmetries (short review)
V.N. Tolstoy
TL;DR
This paper provides a concise review of extremal projectors across various types of contragredient Lie (super)symmetries, including their quantum analogs and applications.
Contribution
It offers a comprehensive summary of extremal projectors for diverse Lie (super)algebras and discusses their bibliographic references and applications.
Findings
Summarizes extremal projectors for simple Lie algebras and superalgebras.
Includes discussion on quantum q-analogs of extremal projectors.
Provides bibliographic comments on applications of extremal projectors.
Abstract
A brief review of the extremal projectors for contragredient Lie (super)symmetries (finite-dimensional simple Lie algebras, basic classical Lie superalgebras, infinite-dimensional affine Kac-Moody algebras and superalgebras, as well as their quantum -analogs) is given. Some bibliographic comments on the applications of extremal projectors are presented.
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