2 citations · 3 across the 5 of their papers we have counts for
6 papers
Geometric Realizations of Capability Spaces of Large Models and Zigzag Persistent Homology
Yu-Zhe Liu, Shengda Liu, Jianyong Pi +1
We propose a topological model for capability changes during large-model training. The model represents knowledge states and preregistered capability probes as subcomplexes of a fi…
The Cohen-Macaulay Auslander algebras of string algebras
Yu-Zhe Liu, Chao Zhang
The Cohen-Macaulay Auslander algebra of any string algebra is explicitly constructed in this paper. Furthermore, we show that a class of special string algebras, which are called t…
On solvable elements in the Weyl algebra
Chaowen Zhang
We show that to determine all solvable elements in the Weyl algebra is closely related to the Dixmier's open question. Sufficient conditions for an elements being unsolvable are gi…
Representations for the restricted Lie color algebras
Chaowen Zhang
The generalized p-characters for the restricted Lie color are defined. The simplicity of the induced modules for the FP triples are determined. As applications, we have obtained an…
Representations of the restricted Cartan type Lie superalgebra
Bin Shu, Chaowen Zhang
Simple modules for the restricted Witt superalgebra are considered. Conditions are provided for the restricted and nonrestricted Kac modules to be simple.
On simple modules for the restricted Lie superalgebra
Chaowen Zhang
In this paper, we study the simple modules for the restricted Lie superalgebra . A condition for the simplicity of the induced modules is given, and an analogue of Kac-Wei…