S. Panja

activity

20212026

most citedThe image of polynomials and Waring type problems on upper triangular matrix algebras

13 citations · 15 across the 26 of their papers we have counts for

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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…

Wedderburn decomposition of the rational group algebras of SL2​(q) and PSL2​(q)

Periodic Points of Power Maps in Finite Matrix Groups and Algebras

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

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