6 papers
Quasi-Poisson Modules and Harish-Chandra AD-Modules
Malihe Yousofzadeh
We introduce the notion of quasi-Poisson modules over Lie-Rinehart pairs and prove that for the Lie-Rinehart pair $(\dot A,\dot\fk)$ in which $\dot A=\bbbc[t_1^{\pm1},\ldots,t_m^{\…
Quasi-integrable modules over affine Lie superalgebras (Critical level)
Asghar Daneshvar, Hajar Kiamehr, Malihe Yousofzadeh
Representation theory of Lie (super)algebras has attracted significant research interest for many years, especially due to its applications in theoretical physics; in this regard,…
Zero-level integrable modules over twisted affine Lie superalgebras
Hajar Kiamehr, Senapathi Eswara Rao, Malihe Yousofzadeh
The main result of this paper is the characterization of zero-level integrable finite weight modules, over twisted affine Lie superalgebras. We prove that such a module is paraboli…
Admissible modules over affine Lie superalgebras: The final step in the characterization
Malihe Yousofzadeh
Over the past three decades, there have been several attempts to characterize modules over affine Lie superalgebras. One of the main issues in this regard is dealing with zero-leve…
On results of certain modules over untwisted affine Liesuperalgebras
Asghar Daneshvar, Hajar Kiamehr, Maryam Yazdanifar +1
Since 2020, finite weight modules have been studied over twisted affine Lie superalgebras. To complete the characterization of modules over affine Lie superalgebras, we need some i…
Action of free fermions on Symmetric Functions
Letterio Gatto, Malihe Yousofzadeh
The Clifford algebra of the endomorphisms of the exterior algebra of a countably dimensional vector space induces natural {\em bosoni}c shadows, i.e. families of linear maps betwee…