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- Chinese Academy of SciencesCN151 papers
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- Purdue University West LafayetteUS123 papers
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15 papers · 1 filter
Skew odd orthogonal characters and interpolating Schur polynomials
Naihuan Jing, Zhijun Li, Danxia Wang +1
We introduce two vertex operators to realize skew odd orthogonal characters and derive the Cauchy identity for the skew characters via Toeplitz-Hankel-type dete…
Kostant's generating functions and McKay-Slodowy correspondence
Naihuan Jing, Zhijun Li, Danxia Wang
Let be a pair of finite subgroups of and a finite-dimensional fundamental -module. We study Kostant's generating functions for the de…
Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra
Munayim Dilxat, Liangyun Chen, Dong Liu
With the -operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the -operators for the Ovsienko-Roger superalgebras in this pa…
On -tilting modules over trivial extensions of gentle tree algebras
Qi Wang, Yingying Zhang
We show that trivial extensions of gentle tree algebras are exactly Brauer tree algebras without exceptional vertex. We also give a characterization for the algebras whose trivial…
Classification of simple Harish-Chandra modules over the N=1 Ramond algebra
Yanan Cai, Dong Liu, Rencai Lü
In this paper, we give a new approach to classify all simple Harish-Chandra modules for the N=1 Ramond algebra based on the so called A-cover theory developed in \cite{BF}
Derived dimension via τ-tilting theory
Yingying Zhang
Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support τ-tilting module, we find a relation between the derived dimensions of an…