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

collaborators

Showing 2025Show all

4 papers · 1 filter

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 $χ$ is called rational if $χ (g)$ is rational for all $g \in G$ . Also, a conjugacy class $x^{G}$ is called rational, i…

math.RA2025

Polynomial maps with constants on split octonion algebras

Saikat Panja, Prachi Saini, Anupam Singh

Let $O (F)$ be the split octonion algebra over an algebraically closed field $F$ . For positive integers $k_{1}, k_{2} \geq 2$ , we study surjectivity of the map…