S. Mandal

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20232025

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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…

math.RA2023

Triviality of the automorphism group of the multiparameter quantum affine $n$ -space

Ashish Gupta, Sugata Mandal

A multiparameter quantum affine space of rank $n$ is the $F$ -algebra generated by indeterminates $X_{1}, \dots, X_{n}$ satisfying $X_iX_j = q_{ij} X_jX_i \ (1 \le i < j \le n)…

Constant rank subspaces of alternating bilinear forms from Galois Theory

Triviality of the automorphism group of the multiparameter quantum affine n-space

Triviality of the automorphism group of the multiparameter quantum affine $n$ -space