S. Panja

activity

20242026

collaborators

8 papers

math.RT2026

Wedderburn decomposition of the rational group algebras of $SL_{2} (q)$ and $PSL_{2} (q)$

Ram Karan Choudhary, Saikat Panja

In this article, we derive explicit combinatorial formulas, depending only on $q$ , for the Wedderburn decomposition of the rational group algebras of the finite linear groups $\ope…

math.NT2026

Periodic Points of Power Maps in Finite Matrix Groups and Algebras

Saikat Panja

Consider the power map $x \mapsto x^{L}$ for a prime $L \neq = 2$ such that $L ∣ q - 1$ where $q$ is a power of a prime. We determine the periodic points under this map for $\operatorname{M}…

math.GR2026

Lifting solutions of polynomial equations on matrices over field to complete local principal ideal rings

Saikat Panja, Ayon Roy, Anupam Singh

Let $O$ be a complete local principal ideal ring with residue field $k$ of characteristic not $2$ and $f \in O [x_{1}, x_{2}, \dots, x_{m}]$ . Take $A\in…

math.DS2025

Dynamics of Word Maps on Groups and Polynomial Maps on Algebras

Saikat Panja

We introduce the notions of Fatou and Julia sets in the context of word maps on complex Lie groups and polynomial maps on finite-dimensional associative $C$ -algebras. For t…

math.GR2025

Power maps on General Linear groups over finite principal ideal local rings of length two

Saikat Panja, Ayon Roy, Anupam Singh

Word maps have been studied for matrix groups over a field. We initiate the study of problems related to word maps in the context of the group $GL_{n} (O_{2})$ , where…

math.GR2025

Rational conjugacy classes and rational characters for some finite simple groups

Dilpreet Kaur, Saikat Panja

If $G$ is a finite group, an irreducible complex-valued character $I ¨ $ is called rational if $I ¨ (g)$ is rational for all $g \in G$ . Also, a conjugacy class $x^{G}$ is called rational,…