5 papers
Bernstein-type inequalities for quantum algebras
Sanu Bera, Ashish Gupta, Sugata Mandal +1
We establish Bernstein-type inequalities for the quantum algebras introduced by K. L. Horton that include the graded quantum Weyl algebra, the quantum s…
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…
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 -vector space of dimension assuming that has a Galois extension of d…
Symmetric bilinear Forms and Galois Theory
Sugata Mandal
Let be a field admitting a Galois extension of degree , denoting the Galois group as $G = \gal(L/K)$. Our focus lies on the space $\sym_K(L)$ of symmetric -bilinear…
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…