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pro vyhledávání: '"Mandal, Sugata"'
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 Identity algebra and the vector space dimension of the simple modules i
Externí odkaz:
http://arxiv.org/abs/2406.14375
Autor:
Gupta, Ashish, Mandal, Sugata
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 degree $n$. In this approach the $K$-space $L$ may serve as a model for
Externí odkaz:
http://arxiv.org/abs/2405.18121
Autor:
Mandal, Sugata
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 forms on $L$. We establish a decomposition of $\sym_K(L)$ into direct
Externí odkaz:
http://arxiv.org/abs/2402.04604
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 unity. In this context, the quantum Heisenberg enveloping algebra bec
Externí odkaz:
http://arxiv.org/abs/2402.03793
Autor:
Gupta, Ashish, Mandal, Sugata
Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\text{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma^i}$ indexed by the elements of $\text{Gal}
Externí odkaz:
http://arxiv.org/abs/2310.03340
Autor:
Gupta, Ashish, Mandal, Sugata
A multiparameter quantum affine space of rank $n$ is the $\mathbb F$-algebra generated by indeterminates $X_1, \cdots, X_n$ satisfying $X_iX_j = q_{ij} X_jX_i \ (1 \le i < j \le n)$ where $q_{ij}$ are nonzero scalars in $\mathbb F^\ast$. The correspo
Externí odkaz:
http://arxiv.org/abs/2309.14699
Publikováno v:
In Journal of Algebra 1 July 2024 649:223-244
Akademický článek
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Autor:
Gupta, Ashish, Mandal, Sugata
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry; 20240101, Issue: Preprints p1-26, 26p