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Uno's Invariant Conjecture for the Finite Symplectic Group Sp4(q) in the Defining Characteristic |
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| Authors: | Jianbei An Shih-Chang Huang Hiromichi Yamada |
| Affiliation: | 1. Department of Mathematics , University of Auckland , Auckland, New Zealand an@math.auckland.ac.nz;3. Department of Mathematics and National Center for Theoretical Sciences (South) , National Cheng Kung University , Taiwan;4. Department of Mathematics , Hitotsubashi University , Kunitachi, Tokyo, Japan |
| Abstract: | The purpose of this article is to study a categorification of the n-th tensor power of the spin representation of U(𝔰𝔬(7, ?)) by using certain subcategories and projective functors of the Bernstein–Gelfand–Gelfand (BGG) category of the complex Lie algebra 𝔤𝔩 n . |
| Keywords: | Dade's invariant conjecture Defining characteristic Symplectic groups Uno's conjecture |