Ashish Gupta

activity

20232025

collaborators

3 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

Linear Algebra and Galois Theory

Ashish Gupta, Sugata Mandal

In \cite{GQ2008} R. Gow and R. Quinlan have cast a new look on the endomorphism algebra of a $K$ -vector space $V$ of dimension $n$ assuming that $K$ has a Galois extension $L$ of d…

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…