Houssein El Turkey

activity

20122019

collaborators

4 papers

math.CO2019

Rainbow Numbers of $Z_{n}$ for $a_{1} x_{1} + a_{2} x_{2} + a_{3} x_{3} = b$

Katie Ansaldi, Houssein El Turkey, Jessica Hamm +3

An exact $r$ -coloring of a set $S$ is a surjective function $c : S \to [r]$ . The rainbow number of a set $S$ for equation $e q$ is the smallest integer $r$ such that every exact $r$ -co…

math.RT2016

Complexity of simple modules over the Lie superalgebra $osp (k ∣2)$

Houssein El Turkey

The complexity of a module is the rate of growth of the minimal projective resolution of the module while the $z$ -complexity is the rate of growth of the number of indecomposable s…

math.RT2014

Complexity of modules over classical Lie superalgebras

Houssein El Turkey

The complexity of the simple and the Kac modules over the general linear Lie superalgebra $gl (m ∣ n)$ of type $A$ was computed by Boe, Kujawa, and Nakano in 2012. A natura…

math.RT2012

Presenting Schur superalgebras

Houssein El Turkey, Jonathan R. Kujawa

We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for th…

Rainbow Numbers of Zn​ for a1​x1​+a2​x2​+a3​x3​=b

Complexity of simple modules over the Lie superalgebra osp(k∣2)

Complexity of modules over classical Lie superalgebras

Presenting Schur superalgebras

Rainbow Numbers of $Z_{n}$ for $a_{1} x_{1} + a_{2} x_{2} + a_{3} x_{3} = b$

Complexity of simple modules over the Lie superalgebra $osp (k ∣2)$