13 citations · 55 across the 20 of their papers we have counts for
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Euler characters for general linear Lie superalgebra
A. N. Sergeev
M. Gorelik and Th. Heidersdors in the papers \cite{GH} investigated Euler characters for Lie superalgebra and . In the present paper we also inve…
Canonical bilinear form and Euler characters
A. N. Sergeev
An explicit formula for the canonical bilinear form on the Grothendieck ring of the Lie supergroup is given. As an application we get an algorithm for the decomposition E…
A new approach to the representation theory of the symmetric groups. IV. -graded groups and algebras
A. M. Vershik, A. N. Sergeev
We start with definitions of the general notions of the theory of -graded algebras. Then we consider theory of inductive families of -graded semisimple fini…
Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices
Dimitry Leites, Alexander Sergeev
We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is a…
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…