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Polynomial super representations of the hyperalgebra of at roots of unity
Jie Du, Yanan Lin, Zhongguo Zhou
As a homomorphic image of the hyperalgebra associated with the quantum linear supergroup , we first give a presentation for the -…
Rigidity of formal characters of Lie algebras (II)
Zhongguo Zhou
For a complex simple Lie algebra of type A_l,B_l,C_l or D_l, given a family of elements f_λ in commutative ring Z[Λ], we show that f_λ is just the formal character of the Weyl modu…
Rigidity of formal character of Lie algebras of type A
Zhongguo Zhou
For a complex simple Lie algebra of type , given a family of elements we show that is just the formal character of the Weyl module …
Irreducible Characters for Algebraic Groups in Characteristic Three
Zhongguo Zhou, Xiangqin Meng
In this note, we determine the irreducible characters for the simple algebraic groups of type over an algebraically closed field of characteristic 3, by using a theorem o…
A New Multiplicity Formula for the Weyl Modules of Type A
Jiachen Ye, Zhongguo Zhou
A monomial basis and a filtration of subalgebras for the universal enveloping algebra of a complex simple Lie algebra of type is given in this note. In particu…