20 citations · 27 across the 3 of their papers we have counts for
5 papers · 1 filter
Parabolic sets of roots
Ivan Dimitrov, Vyacheslav Futorny, Dimitar Grantcharov
We compare two combinatorial definitions of parabolic sets of roots. We show that these definitions are equivalent for simple finite dimensional Lie algebras, affine Lie algebras,…
Imaginary Verma modules and Kashiwara algebras for
Ben Cox, Vyacheslav Futorny, Kailash C. Misra
We consider imaginary Verma modules for quantum affine algebra and construct Kashiwara type operators and the Kashiwara algebra . We sho…
Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR
Andre Bueno, Ben Cox, Vyacheslav Futorny
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2,R) + Ω_R/dR, where R=C[t,t^{-1},u|u^2=t^3 - 2b t^2 + t]. The first realization gives…
Derived tame local and two-point algebras
Viktor Bekkert, Yuriy Drozd, Vyacheslav Futorny
We determine derived representation type of complete finitely generated local and two-point algebras over an algebraically closed field.
Induced Modules for Affine Lie Algebras
Vyacheslav Futorny, Iryna Kashuba
We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra of an affine Lie a…