Extremal projectors for contragredient Lie (super)symmetries (short review)

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 $q$-analogs) is given. Some bibliographic comments on the applications of extremal projectors are presented.

21 pages, LaTeX; typos corrected, references added

References in corpus (1)

• q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))

Cited by in corpus (3)

• Diagonal reduction algebra for $\mathfrak{osp}(1|2)$
• Ghost center and representations of the diagonal reduction algebra of $\mathfrak{osp}(1|2)$
• Bases for infinite dimensional simple $\mathfrak{osp}(1|2n)$-modules respecting the branching $\mathfrak{osp}(1|2n)\supset \mathfrak{gl}(n)$