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20212025
most citedCuriosity Notebook: The Design of a Research Platform for Learning by Teaching

25 citations

11 papers

math.RA2025★ 3 cited

Generalized derivations of -Lie algebras

Yin Chen, Shan Ren, Jiawen Shan +1

This article explores the structure theory of compatible generalized derivations of finite-dimensional -Lie algebras over a field . We prove that any compatible quas…

math.AC2024★ 2 cited

Invariant theory and coefficient algebras of Lie algebras

Yin Chen, Runxuan Zhang

The coefficient algebra of a finite-dimensional Lie algebra on a finite-dimensional representation is defined as the subalgebra generated by all coefficients of the corresponding c…

math.RA2024★ 2 cited

Cohomology of left-symmetric color algebras

Yin Chen, Runxuan Zhang

We develop a new cohomology theory for finite-dimensional left-symmetric color algebras and their finite-dimensional bimodules, establishing a connection between Lie color cohomolo…

cs.IT2024★ 1 cited

Shape enumerators of self-dual NRT codes over finite fields

Yin Chen, Runxuan Zhang

We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's…

astro-ph.IM2023★ 3 cited

PCAT-DE: Reconstructing point-like and diffuse signals in astronomical images using spatial and spectral information

Richard M. Feder, Victoria Butler, Tansu Daylan +5

Observational data from astronomical imaging surveys contain information about a variety of source populations and environments, and its complexity will increase substantially as t…

math.NT2023★ 4 cited

Well-Rounded ideal lattices of cyclic cubic and quartic fields

Dat T. Tran, Nam H. Le, Ha T. N. Tran

In this paper, we find criteria for when cyclic cubic and cyclic quartic fields have well-rounded ideal lattices. We show that every cyclic cubic field has at least one well-rounde…