Sugata Mandal

activity

20232025

collaborators

6 papers

math.QA2025

Bernstein-type inequalities for quantum algebras

Sanu Bera, Ashish Gupta, Sugata Mandal +1

We establish Bernstein-type inequalities for the quantum algebras $K_{n, Γ}^{P, Q} (K)$ introduced by K. L. Horton that include the graded quantum Weyl algebra, the quantum s…

math.RT2024

Simple modules over 3-cyclic quantum Weyl Algebra at roots of unity

Sanu Bera, Sugata Mandal, Snehashis Mukherjee +1

This article undertakes an exploration of simple modules of 3-cyclic quantum Weyl algebra at roots of unity. Under the roots of unity assumption, the algebra becomes a Polynomial I…

math.NT2024

Symmetric bilinear Forms and Galois Theory

Sugata Mandal

Let $K$ be a field admitting a Galois extension $L$ of degree $n$ , denoting the Galois group as $G = \gal(L/K)$. Our focus lies on the space $\sym_K(L)$ of symmetric $K$ -bilinear…

math.RT2024

Quantum Heisenberg Enveloping Algebra

Sanu Bera, Sugata Mandal, Soumendu Nandy

In this article, the two-parameter quantum Heisenberg enveloping algebra, which serves as a model for certain quantum generalized Heisenberg algebras, have been studied at roots of…

math.RA2023

Constant rank subspaces of alternating bilinear forms from Galois Theory

Ashish Gupta, Sugata Mandal

Let $L / K$ be a cyclic extension of degree $n = 2 m$ . It is known that the space $Alt_{K} (L)$ of alternating $K$ -bilinear forms (skew-forms) on $L$ decomposes into a direct sum…