In this paper,we completely classify a finite number of inequivalent indecom-posable modular representations of the dihedral group D2m in characteristic p,pl2m,and determine that there exists a summand of the group al...In this paper,we completely classify a finite number of inequivalent indecom-posable modular representations of the dihedral group D2m in characteristic p,pl2m,and determine that there exists a summand of the group algebra which is not a summand of the rings of coinvariants of these representations.展开更多
We investigate the block basis for modular coinvariants of finite pseudo-reflection groups.We are particularly interested in the case of a subgroup G of the parabolic subgroups of GLn(q)which generalizes the Weyl grou...We investigate the block basis for modular coinvariants of finite pseudo-reflection groups.We are particularly interested in the case of a subgroup G of the parabolic subgroups of GLn(q)which generalizes the Weyl groups of restricted Cartan typeLiealgebra.展开更多
Let Fq be a finite field of characteristic p (p ≠2) and V4 a four-dimensional Fq-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials Fq[V4] under the actio...Let Fq be a finite field of characteristic p (p ≠2) and V4 a four-dimensional Fq-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials Fq[V4] under the action of a nonmetacyclic p-group P in the modular case. We prove that the height of the transfer ideal is 1 using the fixed point sets of the elements of order p in P and that the transfer ideal is a principal ideal.展开更多
基金NNSF(12171194)of ChinaNatural Science Foundation for Young Scientists of Shanxi Province(201901D211184)Natural Science Foundation for Young Scientists(12101375).
文摘In this paper,we completely classify a finite number of inequivalent indecom-posable modular representations of the dihedral group D2m in characteristic p,pl2m,and determine that there exists a summand of the group algebra which is not a summand of the rings of coinvariants of these representations.
基金supported by NSFC(No.12101544)Fundamental Research Funds of Yunnan Province(No.202301AT070415).
文摘We investigate the block basis for modular coinvariants of finite pseudo-reflection groups.We are particularly interested in the case of a subgroup G of the parabolic subgroups of GLn(q)which generalizes the Weyl groups of restricted Cartan typeLiealgebra.
文摘Let Fq be a finite field of characteristic p (p ≠2) and V4 a four-dimensional Fq-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials Fq[V4] under the action of a nonmetacyclic p-group P in the modular case. We prove that the height of the transfer ideal is 1 using the fixed point sets of the elements of order p in P and that the transfer ideal is a principal ideal.
