Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Yousofzadeh, Malihe"'
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 information regarding modules over untwisted affine Lie superalgebras.
Externí odkaz:
http://arxiv.org/abs/2411.17412
Autor:
Gatto, Letterio, Yousofzadeh, Malihe
The Clifford algebra of the endomorphisms of the exterior algebra of a countably dimensional vector space induces natural bosonic shadows, i.e. families of linear maps between the cohomologies of complex grassmannians. The main result of this paper i
Externí odkaz:
http://arxiv.org/abs/2410.15152
In this paper, we characterize a class of simple finite weight modules over twisted affine Lie superalgebras. This is an essential step toward completing the classification of simple finite weight modules over these Lie superalgebras.
Externí odkaz:
http://arxiv.org/abs/2402.16340
Autor:
Yousofzadeh, Malihe
In this paper, we characterize quasi-integrable modules, of nonzero level, over twisted affine Lie superalgebras. We show that quasi-integrable modules are not necessarily highest weight modules. We prove that each quasi-integrable module is paraboli
Externí odkaz:
http://arxiv.org/abs/2202.00656
Autor:
Yousofzadeh, Malihe
For a twisted affine Lie superalgebra with nonzero odd part, we study {tight irreducible weight modules} with bounded weight multiplicities and show that if the action of nonzero real vectors of each affine component of the zero part is neither compl
Externí odkaz:
http://arxiv.org/abs/2101.08330
Autor:
Yousofzadeh, Malihe
Following the definition of a root basis of an affine root system, we define a base of the root system of an affine Lie superalgebra to be a linearly independent subset $B$ of its root system such that each root can be written as a linear combination
Externí odkaz:
http://arxiv.org/abs/1910.02428
Autor:
Yousofzadeh, Malihe
This work provides the first step toward the classification of irreducible finite weight modules over twisted affine Lie superalgebras. We study all such modules whether the canonical central element acts as a nonzero multiple of the identity map or
Externí odkaz:
http://arxiv.org/abs/1903.04861
In this paper we determine the projective unitary representations of finite dimensional Lie supergroups whose underlying Lie superalgebra is $\frak{g} = A \otimes \frak{k}$, where $\frak{k}$ is a compact simple Lie superalgebra and $A$ is a supercomm
Externí odkaz:
http://arxiv.org/abs/1707.00282