Zobrazeno 1 - 10
of 549
pro vyhledávání: '"Kannan, A. S."'
In this paper, we extend the results of Grantcharov and Robitaille in 2021 on mixed tensor products and Capelli determinants to the superalgebra setting. Specifically, we construct a family of superalgebra homomorphisms $\varphi_R : U(\mathfrak{gl}(m
Externí odkaz:
http://arxiv.org/abs/2409.02422
Although Deligne's theorem classifies all symmetric tensor categories (STCs) with moderate growth over algebraically closed fields of characteristic zero, the classification does not extend to positive characteristic. At the forefront of the study of
Externí odkaz:
http://arxiv.org/abs/2406.06712
Autor:
Kannan, Arun S.
The Steinberg tensor product theorem is a fundamental result in the modular representation theory of reductive algebraic groups. It describes any finite-dimensional simple module of highest weight $\lambda$ over such a group as the tensor product of
Externí odkaz:
http://arxiv.org/abs/2404.02786
Kac's ten-dimensional simple Jordan superalgebra over a field of characteristic 5 is obtained from a process of semisimplification, via tensor categories, from the exceptional simple Jordan algebra (or Albert algebra), together with a suitable order
Externí odkaz:
http://arxiv.org/abs/2404.01719
Autor:
Ghosh, Arkadev, Kannan, S. S.
Let $G$ be a simple algebraic group of adjoint type of rank $n$ over $\mathbb{C}$. Let $T$ be a maximal torus of $G$, and $B$ be a Borel subgroup of $G$ containing $T$. Let $W=N_{G}(T)/T$ be the Weyl group of $G$. Let $S=\{\alpha_{1},\ldots,\alpha_{n
Externí odkaz:
http://arxiv.org/abs/2401.12527
Publikováno v:
Experimental Thermal and Fluid Science, Volume 116, 1 August 2020, 110113
The effect of viscosity on the behaviour of a non-equilibrium bubble is investigated experimentally, in two scenarios; firstly, when the bubble is generated in the bulk of the fluid (termed as ``free-field'' bubble) and secondly when the bubble is ge
Externí odkaz:
http://arxiv.org/abs/2306.04129
Autonomous shape and structure formation is an important problem in the domain of large-scale multi-agent systems. In this paper, we propose a 3D structure representation method and a distributed structure formation strategy where settled agents guid
Externí odkaz:
http://arxiv.org/abs/2303.00920
Publikováno v:
In Journal of Algebra 15 March 2025 666:387-414
Autor:
Wang, Zifan, Kannan, Arun S.
In this paper, we prove stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and Sam (2017), we construct a category $\mathbf{OrI}(R)$ and prove a Noetherianity theorem for the category of $\ma
Externí odkaz:
http://arxiv.org/abs/2202.09910