5 citations · 7 across the 3 of their papers we have counts for
10 papers · 1 filter
Centralizer construction of the Yangian of the queer Lie superalgebra
Maxim Nazarov, Alexander Sergeev
Consider the complex matrix Lie superalgebra with the standard generators where . Define an involutive automorphism of by…
Enveloping algebra U(gl(3)) and orthogonal polynomials in several discrete indeterminates
Alexander Sergeev
Let A be an associative complex algebra and L an invariant linear functional on it (trace). Let i be an involutive antiautomorphism of A such that L(i(a))=L(a) for any a in A. Then…
Casimir operators for Lie superalgebras
Dimitry Leites, Alexander Sergeev
Casimir operators -- the generators of the center of the enveloping algebra -- are described for simple or close to them ``classical'' finite dimensional Lie superalgebras with non…
Projective Schur functions as a bispherical functions on certain homogeneous superspaces
Alexander Sergeev
I show that the projective Schur functions may be interpreted as bispherical functions of either the triple (q(n),gl(n,n),q(n)), where q(n) is the "odd" (queer) analog of the gener…
An analog of the classical invariant theory for Lie superlagebras. II
Alexander Sergeev
Let V be a finite dimensional complex superspace and G a simple (or a ``close'' to simple) Lie superalgebra of matrix type, i.e., a Lie subsuperalgebra in GL(V). Under the classica…
The Howe duality and the Projective Representations of Symmetric Groups
Alexander Sergeev
The symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the…